Question

The equation for line u can be written as y = -x + 1. Line v, which is perpendicular to line

u, includes the point (-3, 2). What is the equation of line v?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
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Answer 1

Line v: y = x + 5

Explanation:

Given two lines are perpendicular and the equation of one line, we use the following formula to find the slope of the other line where m1 is the slope of the line we're given and m2 is the slope of the line we want to find:

`m_(2)=-(1)/(m_(1) )\\m_(2)=1`

The general equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

Therefore we plug in our slope and the point (-3, 2) to find the y-intercept of line v:

`2=1(-3)+b\\2=-3+b\\5=b`