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77julia77 [94]
2 years ago
15

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

Biology
2 answers:
Norma-Jean [14]2 years ago
8 0

Answer:

y = -4x - 3

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).

alexandr402 [8]2 years ago
7 0

Use the slope-intercept form to find the slope.

Tap for fewer steps...

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!

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