Step-by-step explanation:
The slope is represented as:
[tex]\frac{y}{x}[/tex] (Rise over Run)
To find the slope, we must use the slope formula.
Formula:
[tex]\boxed{m=\frac{y2}{x2}-\frac{y1}{x1} }[/tex]
Key:
m represents the slope.
y2 and x2 represent the second point.
y1 and x1 represent the first point.
Find 2 points on the line provided:
(-6, 6)
(6, 2)
Substitute the points into the formula format:
[tex]m=\frac{2}{6} -\frac{6}{-6}[/tex]
[tex]m=\frac{-4}{6 \:+\: 6}[/tex]
Simplify:
[tex]m=\frac{-4 \div 4}{12 \div 4} = -\frac{1}{3}[/tex]
[tex]-\frac{1}{3} \: is \: your \: slope.[/tex]
