Question

​Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in​ slope-intercept form, if possible. ​(-4,-1) ; y=-4x-2

Answer 1

y =1/4 x

Explanation:

y = -4x -2

m = - 4 ( As, The product of slope of perpendicular lines is -1, so -4 *m= -1 => m =1/4)

The y-intercept of the line that passes through the given point (-4,-1) is

-1 = 1/4(-4) + b

-1= -1 +b

b=0

The equation of the line that passes through the given point (-4,-1) is

y =mx +b

y = 1/4x +0

y= 1/4 x