Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given

equation.
2.(-2,5), y = - 4x + 2

please leave the steps on how to do it to​ (edit:I did not mean to put this in biology I am so sorry)

Answer 1

Use the slope-intercept form to find the slope.

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The slope-intercept form is

y = m x + b

where m is the slope and b is the y-intercept.

y = m x + b

Using the slope-intercept form the slope is

− 4 . m = − 4

To find an equation that is parallel to

y = − 4 x + 2

the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

( − 2 , 5 ) m = − 4

Using the point-slope form

y − y 1 = m ( x − x 1 )

plug in

m = − 4 , x 1 = − 2

and

y 1 = 5 . y − ( 5 ) = ( − 4 ) ( x − ( − 2 ) )

Solve for

y .

Multiply

− 1 by 5 . y − 5 = ( − 4 ) ( x − ( − 2 ) )

Simplify

( − 4 ) ( x − ( − 2 ) ) .

Multiply

− 1 by − 2 . y − 5 = − 4 ( x + 2 )

Apply the distributive property.

y − 5 = − 4 x − 4 ⋅ 2

Multiply − 4 by 2 . y − 5 = − 4 x − 8

Move all terms not containing

y to the right side of the equation.

Add

5

to both sides of the equation.

y = − 4 x − 8 + 5 Add − 8 and 5 . y = − 4 x − 3

HOPE THIS HELPED!

Answer 2

y = -4x - 3

Step-by-step explanation:

The graph of y = -4x +2 has a slope

m = -4

The parallel line must also have slope

m= -4

Substitute the point and the slope into the equation

y = mx + b

5 = -4(-2) + b

5 = 8 + b

b = 5 - 8 = -3

The equation for the parallel line is

y = -4x - 3

The diagram below shows the parallel line passing through the point (-2,5).