Question

What is the slope of a line that is perpendicular to a line whose equation is 5y = 10+2x

Answer 1

$5y - 2x = 10$
Is the original problem. If you simplify this, you will get
$5y = 2x + 10$
Divide the equation by 5
$y = \frac{2}{5}x + 2$
The slope is
$\frac{2}{5}$
While the perpendicular slope, which is the reciprocal of the slope, is
$- \frac{5}{2}$