# SOLUTION: Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth.

Algebra ->  Algebra  -> Equations -> SOLUTION: Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth.      Log On

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 Question 393235: Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth.Answer by Alan3354(30959)   (Show Source): You can put this solution on YOUR website!Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth. ------------------ First, find the eqn of the line perpendicular to the given line thru the point. Slope of the given line = 5/2 Slope m of the perpendicular line = -2/5 ------------ y-7 = (-2/5)(x+2) 2x + 5y = 31 is the line perpendicular thru (-2,7) ------------ Solve for the intersection of the lines: 5x – 2y = 34 2x + 5y = 31 ---------------- (8,3) is the intersection --------- Find the distance from (-2,7) to (8,3) d =~ 10.8 units ------------------- There might be a better way to do these, I'll check into it.