Question

The equation of line CD is y = 3x − 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3, 1).

Answer 1

Step one: Find the slope of the perpendicular line
Step two: Use the slope and the coordinate point, and equation, find y intercept

Perpendicular slope is negative reciprocal, so the slope would be \(-\frac{1}{3}\)
Then use this and the coordinate and put it into the equation \(1=-\frac{1}{3}(3)+b\\1=-1+b\\b=2\)

So the equation would be \(y=-\frac{1}{3}+2\)