Step-by-step explanation:
Equation of line in slope point form is given as:
[tex]y - y_1 = m(x-x_1) \\ y - 5 = \frac{1}{3}(x + 2) \\ y - 5 = \frac{1}{3} x + \frac{2}{3} \\ y = \frac{1}{3} x + \frac{2}{3} + 5 \\ y = \frac{1}{3} x + \frac{2 + 3 \times 5}{3} \\ \\ \red { \bold{y = \frac{1}{3} x + \frac{17}{3} }}\\ [/tex]
