Question

what is an equation of the line that passes through the point (-5, -7) and is parallel to the line 3x - 5y = 10?

Explanation:

Step1: Find slope of given line

Rewrite $3x - 5y = 10$ as $y = \frac{3}{5}x - 2$, so slope $m = \frac{3}{5}$.

Step2: Use point-slope form

Point $(-5, -7)$, formula $y - y_1 = m(x - x_1)$: $y + 7 = \frac{3}{5}(x + 5)$.

Step3: Convert to standard form

Multiply by 5: $5y + 35 = 3x + 15$, rearrange to $3x - 5y = 20$.

Answer:

$3x - 5y = 20$