Answer
$y = \frac{2}{3}x + \frac{19}{3}$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
Passes through the point $(1,7)$, and has a slope of $\frac23$,
To find the equation of the line we use point slope form: $y−y_1=m(x−x_1)$
$x_1=1$
$y_1=7$
$m=\frac23$
$y−7=\frac23(x−1)$
$y=\frac23x−\frac23+7$
$y = \frac{2}{3}x + \frac{19}{3}$
