Question

Determine an equation of the line that passes through the point (-2, 3) and is perpendicular to the line whose equation is−2x+y−2 =0. Then draw both lines on the same pair of axes.

Answer 1

Since the line passes through (−2,3) we can plug it in the equation to find out the value of C

2(−2)−3−2+C=0⟹C=9

So the equation is

2x−y−2+9=0

or

2x−y+7=0

Explanation:

Common Sense...