Question

the slope of the line determined by the points (-3,2) and (2,-3) is -1 zero 1 undefined

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(-3,2)$ and $(x_2,y_2)=(2,-3)$. Substitute into formula:
$m=\frac{-3-2}{2-(-3)}$

Step3: Calculate numerator and denominator

Simplify numerator: $-3-2=-5$
Simplify denominator: $2-(-3)=2+3=5$

Step4: Compute final slope

$m=\frac{-5}{5}=-1$

Answer:

-1