Question

what is the slope of this line?
(2, 8)
(-6, -8)

Explanation:

Step1: Recall the slope formula

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

Step2: Identify the two points

We have the points \((x_1, y_1)=(-6, -8)\) and \((x_2, y_2)=(2, 8)\).

Step3: Substitute into the slope formula

Substitute \( x_1=-6 \), \( y_1 = - 8 \), \( x_2=2 \), and \( y_2 = 8 \) into the formula:
\( m=\frac{8-(-8)}{2-(-6)}=\frac{8 + 8}{2+6}=\frac{16}{8} \)

Step4: Simplify the fraction

\( \frac{16}{8}=2 \)

Answer:

The slope of the line is \( 2 \).