find the slope of a line parallel to the line whose equation is $5x - 3y = 18$. fully simplify your answer.

Answer:

$\frac{5}{3}$

Explanation:

Step1: Convert the equation to slope - intercept form ($y = mx + b$)

Start with $5x−3y = 18$. Subtract $5x$ from both sides: $-3y=-5x + 18$. Divide each term by $-3$: $y=\frac{5}{3}x-6$.

Step2: Identify the slope

In the equation $y = mx + b$, $m$ is the slope. Here, $m=\frac{5}{3}$. Since parallel lines have the same slope, the slope of a line parallel to the given line is $\frac{5}{3}$.