Question

question find the equation of a line parallel to $-2x + y = -5$ that passes through the point $(8, -8)$. answer $y = -\frac{1}{2}x - 5$ $y = \frac{1}{2}x - 5$ $y = -2x - 24$ $y = 2x - 24$

Explanation:

Step1: Rewrite line to slope-intercept

$-2x + y = -5 \implies y = 2x - 5$

Step2: Identify parallel slope

Parallel lines have equal slopes, so $m = 2$.

Step3: Use point-slope form

Point $(8, -8)$, so $y - (-8) = 2(x - 8)$

Step4: Simplify to slope-intercept

$y + 8 = 2x - 16 \implies y = 2x - 24$

Answer:

$\boldsymbol{y = 2x - 24}$ (Option: $y = 2x - 24$)