Question

question 2-12
which equation represents the line that passes through the point (-3, 2) and has a slope of 2?
○ $y = 2x + 8$
○ $y = 2x - 7$
○ $y = 2x - 4$
○ $y = 2x + 1$

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=2$, $x_1=-3$, $y_1=2$.
$y - 2 = 2(x - (-3))$

Step2: Simplify the equation

Expand and isolate $y$.
$y - 2 = 2(x + 3)$
$y - 2 = 2x + 6$
$y = 2x + 6 + 2$
$y = 2x + 8$

Answer:

A. $y = 2x + 8$