Question

find the slope of the line passing through the pair of points. (if an answer does not exist, enter dne.)
$(5, -3), (-5, 3)$

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 $(x_1,y_1)=(5,-3)$ and $(x_2,y_2)=(-5,3)$. Substitute into formula:
$m=\frac{3-(-3)}{-5-5}$

Step3: Simplify numerator and denominator

Calculate numerator: $3-(-3)=3+3=6$
Calculate denominator: $-5-5=-10$
So $m=\frac{6}{-10}$

Step4: Reduce the fraction

Simplify $\frac{6}{-10}$ to lowest terms: $m=-\frac{3}{5}$

Answer:

$-\frac{3}{5}$