Question

find the slope of the line that passes through the following points: (6, -3) (-1, 6)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \((x_1, y_1)=(6, - 3)\) and \((x_2, y_2)=(-1,6)\).

Step2: Substitute values into formula

Substitute \( x_1 = 6,y_1=-3,x_2=-1,y_2 = 6 \) into the slope formula:
\( m=\frac{6-(-3)}{-1 - 6}=\frac{6 + 3}{-7}=\frac{9}{-7}=-\frac{9}{7} \)

Answer:

\(-\frac{9}{7}\)