Question

1. find the slope. $m = \frac{y_2 - y_1}{x_2 - x_1}$

a. $(8, -2)$ and $(1, 11)$ b. $(-10, 2$

Explanation:

Step1: Identify coordinates

Let \((x_1, y_1) = (8, -2)\) and \((x_2, y_2) = (1, 11)\).

Step2: Apply slope formula

Use \(m=\frac{y_2 - y_1}{x_2 - x_1}\), substitute values:
\(m=\frac{11 - (-2)}{1 - 8}\)

Step3: Simplify numerator and denominator

Numerator: \(11 - (-2)=11 + 2 = 13\)
Denominator: \(1 - 8=-7\)
So \(m = \frac{13}{-7}=-\frac{13}{7}\)

Answer:

The slope is \(-\frac{13}{7}\)