# SOLUTION: write an equation of the line that passes through (-2,3) and is perpendicular to the line y=2x+1

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: write an equation of the line that passes through (-2,3) and is perpendicular to the line y=2x+1      Log On

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 Algebra: Linear Equations, Graphs, Slope Solvers Lessons Answers archive Quiz In Depth

 Question 164820: write an equation of the line that passes through (-2,3) and is perpendicular to the line y=2x+1Answer 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