What is the slope of any line perpendicular to the line passing through (-45,19)(−45,19) and (-19,33)(−19,33)?

1 Answer
sankarankalyanam
Apr 8, 2018

color(brown)("Slope of perpendicular line " m_1 = - 1/m = -13/7Slope of perpendicular line m1=−1m=−137

Explanation:

Slope of a line given coordinates of two points on it is

m = (y_2 - y_1) / (x_2 - x_1)m=y2−y1x2−x1

m = (33 - 19) / (-19 + 45) = 14 / 26 = 7/13m=33−19−19+45=1426=713

color(brown)("Slope of perpendicular line " m_1 = - 1/m = -(1/(7/13)) = -13/7Slope of perpendicular line m1=−1m=−(1713)=−137

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