Question

find the equation of the line that is parallel to y = -5x - 9 and contains the point (-3,-3). y = ?x +

Explanation:

Step1: Identify parallel slope

Parallel lines have equal slopes. For $y=-5x-9$, the slope $m=-5$.

Step2: Use point-slope form

Point-slope formula: $y - y_1 = m(x - x_1)$. Substitute $m=-5$, $x_1=-3$, $y_1=-3$.
$y - (-3) = -5(x - (-3))$

Step3: Simplify to slope-intercept form

Simplify the equation:
$y + 3 = -5(x + 3)$
$y + 3 = -5x - 15$
$y = -5x - 15 - 3$
$y = -5x - 18$

Answer:

$y = -5x + (-18)$