131k views
18 votes
Write an equation of the line passing through the point (2, 3) that is perpendicular to the line 2x + y = 2.

В І
U

Write an equation of the line passing through the point (2, 3) that is perpendicular-example-1
User Zhuanzhou
by
7.0k points

1 Answer

8 votes

Analyaze base line

2x+y=2

move x to other side

y=-2x+2

slope: -2

Pepindicular lines have negative reciprical slopes, so

-2 ---- 1/2

using point slope

y-3=1/2(x-2)

simplify

y-3=1/2x-1

move three to other side

y=1/2x-1+3

y=1/2x+2

User Daionne
by
6.9k points