Determine the slope of the line that is perpendicular to the equation below. y=-3x +4 type your answer as a reduced fraction of necessary, like this 3/4

When the equation of a line is already in the form , the slope is the coefficient of x, i.e. m.

So, in your case, the slope is -3.

Given a line with slope m, all perpendicular lines will have slope

So, all lines perpendicular to a line with slope -3 have slope

Product of Slope of a line and its perpendicular is -1.

Suppose slope of a line is m1 and its perpendicular is m2.

The general slope intercept form is given by :

We are given the equation,

Comparing our equation with general slope intercept form , we have

slope (m1) = -3

slope of line perpendicular to it (m2) is given by formula above

plugging m1=-3 in this

dividing both sides by -3,

m2 =1/3

So slope of line perpendicular to given line is 1/3.