Question 11288
NO!!  You need to solve for y, NOT solve for x.  


{{{ 5x = (2/3)* y - 10}}}


I would begin by multiplying both sides by the denominator which is 3 to clear the denominator.

{{{ 3* 5x = 3*(2/3)* y - 3*10}}}   Divide out the 3 on the right side:
{{{ 15x = 2y - 30}}}


Add + 30 to each side to solve for y.
{{{15x + 30 = 2y}}}


Divide both sides by 2:

{{{(15x)/2 + 30/2 = (2y)/2}}}
{{{y = (15/2)*x + 15}}}


Now that it is in slope-intercept form, the slope is the coefficient of x, which is {{{15/2}}} and the y-intercept is the constant, which is 15.


R^2 at SCC