Question

What is the equation, in slope-intercept form, of the line

Answer 1

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is $\frac{3-2}{-1-2}=-\frac{1}{3}$

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

$y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}$