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Question 164820: write an equation of the line that passes through (-2,3) and is perpendicular to the line y=2x+1
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! parallel lines have equal slopes but perpendicular lines are negative inverses of each other. So we need to first write the equation in y=mx+b format and we see it already is written in that format. We see from this that the slope is 2 therefore if the other line is perpendicular to this is has a negative inverse slope which would equal to -1/2. since we have the slope and a given point(-2,3) on the perpendicular line we can use the point slope formula which is y-k=m(x-h) where h,k is a point on the line. so using our given point and slope we have y-3=-1/2(x-(-2)) simplify y=-1/2x+5
answer: y = -1/2x + 5
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