Question

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

Explanation:

Step1: Transform to slope - intercept form

Transform $5x - 3y=18$ to $y = mx + b$ form. First, move $5x$ to the right - hand side: $-3y=-5x + 18$.
Then divide both sides by $-3$: $y=\frac{5}{3}x-6$.

Step2: Determine the slope of the parallel line

Parallel lines have the same slope. The slope of the line $y=\frac{5}{3}x - 6$ is $\frac{5}{3}$, so the slope of a line parallel to it is also $\frac{5}{3}$.

Answer:

$\frac{5}{3}$