PICTURE SHOWN
Write the equation of the given line in
slope- intercept form

PICTURE SHOWNWrite The Equation Of The Given Line In Slope- Intercept Form

Answers

Answer 1

Answer:

y=2x+3

Step-by-step explanation:

Answer 2

Answer:

y = -3x - 1

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope using [tex]\frac{y2 - y1}{x2 - x1}[/tex]

(x1, y1) = (-1, 2)

(x2, y2) = (1, -4)

m = [tex]\frac{-4 - 2}{1 -(-1)}[/tex]

m = [tex]\frac{-6}{1+1}[/tex]

m = [tex]\frac{-6}{2}[/tex]

m = -3

Step 2:  Plug into point slope form and solve for y

(y - y1) = m(x - x1)

(y - 2) = -3(x - (-1))

y - 2 = -3(x + 1)

y - 2 + 2 = -3x - 3 + 2

y = -3x - 1

Answer:  y = -3x - 1


Related Questions

What is the velocity of a wave with a frequency of 4.0 Hz and a wavelength of 0.50 m/wave?

Answers

Answer:

v=fa

Step-by-step explanation:

(4)(.5)=2

v=2

please help as soon as possible ​

Answers

b)


it is 15 more than A so the A has to go first

Answer:

B

Step-by-step explanation:

15 more than A

A is the original answer so it should be the first digit.

The question asks "15 more" so it should be after the A

A+15

Which is a unit of length in the metric system?

inches
feet
meters
yards

Answers

Answer: meters

Step-by-step explanation:

In the metric system, length is measured in meters, which is commonly used as millimeter, centimeter or decimeter.

I hope this helps

Answer: METERS AKA C

Step-by-step explanation:

. A square window has a perimeter of 60 inches.
What is the area of the window?​

Answers

Answer:

225 in squared

Step-by-step explanation:

since a square has 4 equal sides you do 60/4 which is 15

then to find the area or a square you take one side and multiply it by the same number so you would do 15*15=225

Answer:

225 sq . inch

Step-by-step explanation:

What is the value of d?

Answers

Answer:

d=5

Step-by-step explanation:

Simplify the expression

7.) -3.5 - 2.1 x 1.8​

Answers

1. Simplify 2.1 * 1.8 to 3.78

-3.5 - 3.78

2. Simplify

-7.28

Answer: -7.28

Step-by-step explanation:

You travel 150 miles on 5 gallons how far did you travel per gallon?

Answers

Answer:

Step-by-step explanation:

Answer:

You travel 30 miles per (1) gallon!!!!! please give brainliest!!

Step-by-step explanation:

150/5=30

9(2x + 10) = 2(9x+ 45)

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

1) distribute 9 to each term inside parenthesis on left side of equation

18x+90=2(9x+45)

2)now distribute 2

18x+90=18x+90

these equations are exactly the same! this means that this equation has infinitely many solutions

Hope this helps!

Answer:

infinite solutions

Step-by-step explanation:

9(2x + 10) = 2(9x+ 45)

Distribute

18x+90 = 18x +90

Subtract 18x from each side

18x-18x+90 = 18x-18x+90

90=90

Since this is always true, the equation has infinite solutions.

X can be any number

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the area of the complex figure.
Not drawn to scale.​

Answers

Answer:

1863 [tex]meters^{2}[/tex]

Step-by-step explanation:

( 23 x 12 ) x 2 = 552

69 x 19 = 1311

 1311

+552

= 1863 [tex]meters^{2}[/tex]

The area of the complex figure is 1,863 square meters

To find the area of the complex figure, break it down into individual rectangles and then sum up their areas. The complex figure consists of two smaller rectangles and one larger rectangle.

For the first two rectangles:

- Length = 23 m

- Width = 12 m

The area of each of the first two rectangles is:

Area = Length × Width = 23 m × 12 m = 276 square meters

Now, for the larger rectangle:

- Length = 69 m

- Width = 19 m

The area of the larger rectangle is:

Area = Length × Width = 69 m × 19 m = 1,311 square meters

To find the total area of the complex figure, sum up the areas of the three rectangles:

Total Area = Area of the first two rectangles + Area of the larger rectangle

Total Area = (276 square meters + 276 square meters) + 1,311 square meters

Total Area = 552 square meters + 1,311 square meters

Total Area = 1,863 square meters

So, the area of the complex figure is 1,863 square meters. This approach demonstrates how to find the area by breaking down the complex figure into simpler shapes and summing their individual areas.

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A triangle has an area of 80 yd² and a height of 10 yd. How long is the base of the triangle?
Plz help this is my unit test

Answers

Answer:

16 yd. is the answer. Good luck with the test.

Step-by-step explanation:

A=b×h÷2

80=10×y÷2

160=10×y

16=y

16 yd.

Answer:

he base length of triangle = 16 yd

Explanation:

he base length of triangle = 16 yd

Step-by-step explanation:

Formula:-

Area of triangle

area A = bh/2

b - base of triangle

h - height of triangle

To find the area of triangle

It is given that,A triangle has an area of 80 yd^2 and a height of 10 yd.

here, b = ?, A = 80 yd^2  and h = 10 yd

A = bh/2

80 = (b*10)/2

5b = 80

b = 80/5 = 16

Therefore the base length of triangle = 16 yd

PLEASE ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

The equations for the regular cost is [tex]y=18.50 x[/tex] and

The equation for the party special is  [tex]y=15 x+28[/tex],

where y is the total cost in dollars and x is the number of students in the group.

Step-by-step explanation:

Step 1:

The regular cost per person is $18.50 per person.

So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.

So the equation is [tex]y=18.50 x[/tex].

If x = 5, [tex]y=18.50(5)[/tex] = $92.50,

If x = 10, [tex]y=18.50(10)[/tex] = $185.00.

Step 2:

The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.

So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.

So the equation is [tex]y=15 x+28[/tex].

If x = 5, [tex]y=15 (5)+28[/tex] = $103.00

If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.

!!!!!!!!!!!Help please!!!!!!!!!!!!!!!

Answers

Answer:

Option D

Step-by-step explanation:

A radical equation has only a radical itself, with an additional multiplier.

Answer:

7√x=14

Step-by-step explanation:

Solve for n.
4 x n= 21.6

Answers

Answer:

n = 5.4

Step-by-step explanation:

Equation:  4n = 21.6

To solve this equation for n, divide both sides by 4 to get n by itself.

Step 1:  Divide both sides by 4

4 * n / 4 = 21.6 / 4

n = 5.4

Answer:  n = 5.4

[tex]\large\text{Hey there!}[/tex]

[tex]\mathsf{4n=21.6}\\\mathsf{\bf{DIVIDE}}\mathsf{\ both\ sides\ by\ 4}\\\mathsf{\dfrac{4n}{4}=\dfrac{21.6}{4}}\\\mathsf{Cancel\ out: \dfrac{4n}{4}\ because\ it\ equals\ to\ 1}\\\mathsf{Keep: \dfrac{21.6}{6}\ because\ it\ gives\ you\ the\ value\ of\ your\ n}\\\mathsf{\dfrac{21.6}{4}=21.6\div4\rightarrow5.4}\\\\\\\boxed{\boxed{\bf{Answer: \boxed{\mathsf{\bf{\underline{\underline{n =5.4}}}}}}}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Which is equivalent to (x + 12)(x - 12)?
x + 24x - 144
x² -144
x + 144
x- 24x - 144

Answers

Option 2 is the correct option

Step-by-step explanation:

Step 1 :

Given expression :  (x + 12)(x - 12)

We need to find the expression from the given options which matches the given expression

Step 2 :

The given expression is of the form (a+b)(a-b)

where a = x and b = 12 here

The product of this is given by  formula

(a+b)(a-b) = (a² - b²)

Substituting the value of a and b in  formula we get

(x + 12)(x - 12) = x² - 12² = x² - 144

Hence option 2 is the correct option from the given list.

Step 3 :

Answer :

Option 2 is the option which matches the given expression

Answer:

144 and -144

Step-by-step explanation:

just did it

Consider the equation x=-2y+7 what is the x-intercept

Answers

Answer:

7

Step-by-step explanation:

The x-intercept is the x-value when y=0, so we plug in y=0,

x=-2(0)+7

x=0+7

x=7

So the x-intercept is 7

Answer:

X intercept is 7

Step-by-step explanation:

The length of a rectangular piece of sheet metal is 3 times it’s width. What is its length if it’s area is 192 square centimeters

Answers

To find the missing number, you will need to divide the numbers you already have.

192 divided by 3 = 64

Your answer/length will be 64.

Area = 192

Width = 3

Length = 64

64 x 3 = 192

                                                                                Hope this helps :)

To determine the length of the rectangular piece of sheet metal with an area of 192 square centimeters and a given length-to-width ratio, solve for the width using the area formula, then use the ratio to find the length. The calculated length is 24 centimeters.

The problem involves finding the length of a rectangle given the area and the relationship between the length and width. Let's denote the width of the rectangle as w and the length as L. We are given that L = 3w and the area (A) of the rectangle is 192 square centimeters. The area of a rectangle is calculated by multiplying its length and width.

A = L x w

Substituting L from the given relationship into the area equation:

192 cm² = (3w) x w

Now we can solve for w:

192 cm² = 3w²

w² = 192 cm² / 3

w² = 64 cm²

w = 8 cm

Now, use the value of w to find L:

L = 3 x 8 cm

L = 24 cm

Therefore, the length of the rectangular piece of sheet metal is 24 centimeters.

help and hurry plzzzzzzzzzzzzz

Answers

Answer:

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4A

Step-by-step explanation:

The slope-intercept form is y = m x + b, where

m is the slope of the lineb is the y-intercept (y at x = 0)

The formula of the slope of a line which passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

∵ The line passes through points (-6 , -4) and (0 , 4)

∴ [tex]x_{1}[/tex] = -6 and [tex]x_{2}[/tex] = 0

∴ [tex]y_{1}[/tex] = -4 and [tex]y_{2}[/tex] = 4

- Substitute them in the formula of the slope

∴ [tex]m=\frac{4--4}{0--6}=\frac{8}{6}[/tex]

- Simplify it by divide up and down by 2

∴ [tex]m=\frac{4}{3}[/tex]

∵ The slope-intercept form is y = m x + b

- Substitute the value of m on it

∴ y = [tex]\frac{4}{3}[/tex] x + b

∵ b is value y at x= 0

∵ At x = 0 , y = 4 ⇒ given point

∴ b = 4

- Substitute the value of b in the equation

∴ y = [tex]\frac{4}{3}[/tex] x + 4

The equation of the line in the slope-intercept form is y = [tex]\frac{4}{3}[/tex] x + 4

Alina is flying a kite. The kite string is fully extended and measures 100 feet in length. The kite is 45 feet east of Alina. Which equation can be used to find the height of the kite? How high is the kite? Select two answers

Answers

Answer: I chose A and D but I'm not sure.

Answer:

The answers are A and D since A is the right equation and 89.3 is the right answer

Step-by-step explanation:

Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete
the table using the inverse variation relationship.
Visible Light
Wavelength (m)
Frequency (THz)
Blue
450
301,500
Green
520
580
Yellow
540
302,400
Red
635
304,800
480
a=
b = 301,
c=_
DONE

Answers

Answer:

A=670

B=301,600

C=560

Step-by-step explanation:

A is K divided by the wavelength (m) 301,500 / 450

B is wavelength(m) multiplied by the Frequency (Thz) 520x580

C is K divided by the Frenquency (Thz) 302400 / 540

The value of a is 670, b is 301,600, and c is 560.

What is Inverse Variation?

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The table consists of data of wavelength, frequency and k, the product of wavelength and frequency.

The missing values of a, b, and c has to be determined.

The wavelength is in inverse relation to frequency, on increasing the wavelength, the frequency decreases.

Wavelength ∝ ( 1 / frequency)

Wavelength * Frequency = k

For determining a,

450 * a = 301500

a = 301500/450 = 670

a = 670

For determining b,

520 * 580 = b

b = 301600

For determining c,

c * 540 = 302400

c = 302400 / 540

c = 560

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what is x? 1.5x - 6 = 7.5

Answers

Answer:

x=9

Step-by-step explanation:

1.5x - 6 = 7.5

       +6    + 6

1.5x = 13.5

1.5x divided by 13.5 then equals 9

jamie’s mother is making a quilt. the block shown below is made from a series of similar triangles

Answers

Answer:

but what is the actual answer?

Step-by-step explanation:

Four families are planning to make a joint purchase at a warehouse club in order to purchase no more than 15 pounds of potatoes for each family how many potatoes should they buy?

Answers

Answer:

x < 15.  

Step-by-step explanation:

Solving Inequalities Word Problems

Let X is the total pounds of potatoes that four families should buy

To purchase no more than 15, so they should buy 0< x < 15

Because four families are planning to make a joint purchase and we dont know their specific proportion  so we take x as the number on be haft.

Choose the best graph that represents the linear equation:

4x + y = 0

i need help please

Answers

Answer:

graph A

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

I did the practice on edg

Which statement best describes what happened to average gas prices from week 2 to week 4?
A They fell.
B They rose and then fell.
C They stayed the same.
D They rose.

Answers

Answer:

Is there a graph that we need to look at

Absolute value equation |x-3|=5​

Answers

Answer:

x = - 2, x = 8

Step-by-step explanation:

The absolute value function always returns a positive value, but the expression inside can be positive or negative, thus

x - 3 = 5 OR - (x - 3) = 5

Solving both equations

x - 3 = 5 ( add 3 to both sides )

x = 8

OR

- x + 3 = 5 ( subtract 3 from both sides )

- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 8

| 8 - 3 | = | 5 | = 5 = right side

x = - 2

| - 2 - 3 | = | - 5 | = 5 = right side

Thus the solutions are x = - 2, x = 8

The equation given is the same as x - 3 = 5 or -(x - 3) = 5

Steps to solve:

x - 3 = 5

x - 3 + 3 = 5 + 3

x = 8

Steps to solve:

-(x - 3) = 5

-x + 3 = 5

-x + 3 - 3 = 5 - 3

-x = 2

-x/-1 = 2/-1

x = -2

Therefore, the solutions are x = 8 and x = -2

Best of Luck!

You move down 3 units and right 6 units. You end at (4, -5). Where did you start?

Answers

Answer:

(-2, -2)

Step-by-step explanation:

In this problem, you only know the coordinates of the final point and the distance moved in order to get there (which was moving 3 units down and 6 units to the right). If you want to find the starting point, you simply have to go backwards by subtracting 3 from -5 because the y coordinates move upwards/downwards, and then subtracting 6 from 4 because the x coordinates go left/right in order to get your final answer, (-2, -2).

The sequence of movements can be reversed to find the initial position, which is (-2, -2).

To determine the starting point, we can reverse the given movements: moving down 3 units and right 6 units from the final position (4, -5). If we move 3 units up from the final y-coordinate (-5), we get -5 + 3 = -2.

Similarly, if we move 6 units left from the final x-coordinate (4), we get 4 - 6 = -2. Therefore, the starting point is (-2, -2).

To visualize this, imagine a coordinate plane where moving down represents decreasing the y-coordinate and moving right represents increasing the x-coordinate.

Starting at (-2, -2), moving down 3 units brings us to (-2, -5), and then moving right 6 units from there leads us to the final position (4, -5).

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solve the equation 14z=224

Answers

Step-by-step explanation:

[tex]14z = 224[/tex]

To solve for [tex]z[/tex] in this equation, we need to isolate [tex]z[/tex] by itself on one side of the equation.

To do this, we need to get rid of the [tex]14[/tex] that is being multiplied by the [tex]z[/tex] on the left-hand side of the equation. This can be done by dividing both sides by [tex]14[/tex]:

[tex]14z = 224[/tex]

[tex]\frac{14z}{14} = \frac{224}{14}[/tex]

[tex]z = 16[/tex]

Therefore, the solution to the equation is [tex]z = 16[/tex].

Answer:

Step-by-step explanation:

14z = 224

divide both sides by 14

[tex]z=\frac{224}{14}\\\\z=16[/tex]

Translate the phrase into an algebraic expression. The sum of 17 and twice a number

Answers

Let's make "x" the number.

So the sum of 17 and twice a number:

17 + 2 * a number

17 + 2 * x

17 + 2x

The value of algebraic expression is,

⇒ 2x + 17

Where, x is a number.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The phrase is,

'' The sum of 17 and twice a number.''

Now, Let a number = x

So, We can formulate;

The algebraic expression is,

⇒ 17 + 2 × x

⇒ 17 + 2x

⇒ 2x + 17

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A cone with a height of 14 feet has a volume of 405.63 cubic feet

Answers

Answer:

R=5.26

Step-by-step explanation:

What is the measure of it

Answers

Answer:My guess is 185

Step-by-step explanation:

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