Question

write an equation of the line that passes through the given point and has the given slope: (-2, -1); m = -3
y = -3x - 7
y = -3x + 7
y = 3x - 7
y = -3x - 8

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $(x_1, y_1)=(-2,-1)$ and $m=-3$.
$y - (-1) = -3(x - (-2))$

Step2: Simplify the equation

Simplify the signs and expand the right side.
$y + 1 = -3(x + 2)$
$y + 1 = -3x - 6$

Step3: Solve for y

Subtract 1 from both sides to isolate y.
$y = -3x - 6 - 1$
$y = -3x - 7$

Answer:

A. $y = -3x - 7$