Question

Find the equation of the line, in slope-intercept form

Answer 1

The slope intercept form of a line equation is y = mx + c -------------> (1)

The given line equation is y  =  4x - 3 -----------------> (2)

Compare Eq (2) with Eq (1)

m  =  4  and c  =  -3.

If the two lines are perpendicular to each other then

m1 X m2  =  -1

Substitute m1 = 4 and find m2

4 X m2  =  -1

m2  =  -1/4

Substitute m = -1/4 and c = -3 in Eq (1)

y  =  (-1/4)x - 3

y  =  -x/4 - 3.

Answer :

The line perpendicular to the given line is y  =  -x/4 - 3.