The slope equation is
y = mx + b
We already know m = 2/3, so now we just use the x and y coordinates in the point given to find b.
[tex]y = mx + b \\ (2) = ( \frac{2}{3} )( - 3) + b \\ 2 = - 2 + b \\ 4 = b[/tex]
First, we plug in x = -3, y = 2, and m = 2/3. Then, we combine 2/3 and -3 to become -2. Then we add 2 to both sides, and we get b = 4.
The final slope equation is then:
[tex]y = \frac{2}{3} x + 4[/tex]
Which is answer D.
