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.

(8,1); y=-8x-1

Answer 1

y= ⅛x

Explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product if the gradients of 2 perpendicular lines is -1.

Gradient of given line= -8

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

y=⅛x +c

To find the value of c, substitute a coordinate.

When x=8, y=1,

1= ⅛(8) +c

1= 1 +c

c= 1 -1

c= 0

Thus, the equation if the line is y= ⅛x.