Question

given: j(2, - 3) and m(-2, - 5)
what is the slope of $overrightarrow{jm}$?
a 2
b $\frac{5}{3}$
c undefined
d $\frac{1}{2}$

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, for points $J(2,-3)$ and $M(-2,-5)$, $x_1 = 2,y_1=-3,x_2=-2,y_2 = - 5$.

Step2: Substitute values

$m=\frac{-5-(-3)}{-2 - 2}=\frac{-5 + 3}{-4}=\frac{-2}{-4}$.

Step3: Simplify the fraction

$\frac{-2}{-4}=\frac{1}{2}$.

Answer:

D. $\frac{1}{2}$