Question 143825
Your first step is good.  The slope, {{{m = 2/3}}}, so you can initially write:
{{{y = (2/3)x + b}}} Now, to find the value of b, you substitute the x- and y-values from either one of the two given points into this equation and solve for b. Let's use the first point (3, 5)
{{{5 = (2/3)3 + b}}} Simplify.
{{{5 = 2 + b}}} Subtract 2 from both sides.
{{{b = 3}}}
The final equation is:
{{{y = (2/3)x + 3}}}