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

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Answer 1 · 2018-04-08T10:45:33

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

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

$m = (y_2 - y_1) / (x_2 - x_1)$

$m = (33 - 19) / (-19 + 45) = 14 / 26 = 7/13$

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

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