Question

Write the slope-intercept form of the equation of the line described. 12.) through: ( 2 , -4 ) , perpendicular to Y= 1/4x -4

Answer 1

y = -4x + 4

Explanation:

Slope-intercept equation form:

y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular to Y= 1/4x -4

This line has slope 1/4. When two lines are perpendicular, the multiplication of their slopes is -1. So

m*(1/4) = -1

m/4 = -1

m = -4

Then:

y = -4x + b

Through (2,-4).

This means that when x =2, y = -4. So

-4 = -4*2 + b

-8 + b = -4

b = -4 + 8

b = 4

So

y = -4x + 4