Question

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

that is perpendicular to the given line and passes
through the point (2, -1)?

Answer 1

Answer: y=3x-7

Explanation:

(2,2) and (-1,3) lie on the given line, so its slope is
`(3-2)/(-1-2)=-(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}`