How do I solve a slope equation for Y?

Question

Example:
2/3y = - 1/5x

Answer 1

(2/3)y = (-1/5)x
to get the slope, we first transform this equation into slope-intercept form,
y = mx + b
where m = slope and b = y-intercept.
note that the numerical coefficient of y (number before the variable y) in slope-intercept form is 1, thus to change the given equation, we multiply both sides by 3/2:
(3/2)*(2/3)y = (3/2)*(-1/5)x
y = -(3/10)x
therefore,
slope = -3/10

hope this helps~ :)