Question

find the slope of a line parallel to the line whose equation is 5x - 2y = 2. fully simplify your answer.

Explanation:

Step1: Rewrite equation in slope-intercept form

Start with $5x - 2y = 2$. Subtract $5x$: $-2y = -5x + 2$. Divide by $-2$: $y = \frac{5}{2}x - 1$.

Step2: Identify slope of parallel line

Parallel lines have equal slopes. The slope of the given line is $\frac{5}{2}$. So the parallel line's slope is $\frac{5}{2}$.

Answer:

$\frac{5}{2}$