Question

JK has coordinates J(9,-3) and K(-1,5). If LM os perpendicular to JK what is the slope of LM? Write answer as either an a integer or a simplified fraction. NO DECIMAL

Answer 1

Given data:

The first coordinate is J(9,-3).

The second coordinate is K(-1,5).

The slope of the line passing through the given points is,

$\begin{gathered} m=\frac{5-(-3)}{-1-9} \\ =\frac{8}{-10} \\ =-0.8 \end{gathered}$

The slope of the line LM perpendicular to it is,

$\begin{gathered} m^{\prime}\times m=-1 \\ m^{\prime}\times(-0.8)=-1 \\ m=\frac{1}{0.8} \\ =\frac{5}{4} \end{gathered}$

Thus, the slope of the LM line is 5/4.