Question

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

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Answer 1

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