Question

Find the equation of the line which is perpendicular to the line y=− 1 3 x+6 through the point (2,4)

Answer 1

y=3x-2

Explanation:

Answer 2

The equation of the perpendicular line is 13y=27-x

Explanation:

Writing the given equation to slope-intercept form.

y=− 1 3 x+6

The slope of this line is 13

The perpendicular slope is -1/13

Using the new slope and the given point into the slope-intercept form to find the y-intercept.

4=-1/13(2)+c

2=-1/13+c

c=27/13

y=-1/13x+27/13

So the equation of the perpendicular line is 13y=27-x