Question

write an equation for the line that passes through the given point and has the given slope: (-8, 0) slope 2

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)=(-8, 0)$ and $m=2$.
$y - 0 = 2(x - (-8))$

Step2: Simplify the equation

Simplify the right-hand side and rewrite.
$y = 2(x + 8)$

Step3: Expand to slope-intercept form

Distribute the slope across the parentheses.
$y = 2x + 16$

Answer:

$y = 2x + 16$