Question

1. calculate the slope given the two points; (-5, 12) and (4, 6)

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 $(x_1,y_1)=(-5,12)$ and $(x_2,y_2)=(4,6)$. Substitute into formula:
$m=\frac{6-12}{4-(-5)}$

Step3: Simplify numerator and denominator

$m=\frac{-6}{4+5}=\frac{-6}{9}$

Step4: Reduce the fraction

$m=-\frac{2}{3}$

Answer:

$-\frac{2}{3}$