Answer
$y=\frac{2}{3}x+\frac{11}{3}$
Work Step by Step
A linear function has the form $y=mx+b$, where $m$ is the slope, $b$ is the y-intercept.
A linear function can also have the form $y-y_1=m(x-x_1)$, where $m$ is the slope, and $(x_1,y_1)$ is a point on the line.
Hence here: $y-7=\frac{2}{3}(x-5)\\y-7=\frac{2}{3}x-\frac{10}{3}\\y=\frac{2}{3}x+\frac{11}{3}$
