Write an equation of the line in slope-intercept form that is perpendicular to 4x + 8y = 16 and passes through the point (-5,7).

Question

Pleeaaaase help me like I'm dying here

Answer 1

Since it is perpendicular, the slope of the line must be the negative reciprocal of the slope of the given line.

 

Given line:

 

m = -4/8 = -1/2

 

Perpendicular line:

 

m' = -1/(-1/2) = 2

 

So far we have

 

y = 2x + b

 

Use the given point to find b.

 

7 = 2(-5) + b

 

b = 17

 

y = 2x + 17