Answer
The slope is $\frac{5}{2}$, and the y-intercept is $(0,-\frac{7}{2})$
Work Step by Step
$5x-2y=7$
$2y=5x-7$
$y=\frac{5}{2}x-\frac{7}{2}$
This is in slope-intercept form.
The slope is $\frac{5}{2}$, and the y-intercept is $(0,-\frac{7}{2})$