Question

The slope of line f is -1/3. What is an equation of line that is perpendicular to line f?

Answer 1

Answer: 3x + y = 0

Step-by-step explanation:

Ley's put it into slope-intercept form (to graph easier)

3x + y = 0

y = - 3x + 0

(Since we were subtracting 3x from both sides -3x results

So now we have it in slope-intercept form.

The formula for the perpendicular line is negative reciprocal

The negative reciprocal of -1/3 is 3x, so we have the negative reciprocal slope

We will convert option three quickly before I graph

9x - 3y = 27

-3y = -9x + 27

y = 3x - 9

So we have the same slope, which is correct. But wrong y-intercept; it needs to be zero since the slope you gave has no y-intercept, so we assume 0.