Answer
$3y=2x+19$
Work Step by Step
To find an equation of a line with slope $m=\frac{2}{3}$ that passes through $(1,7)$,
we use the formula $y=mx+b$.
We plug in the values of $m$, $y$, and $x$ to solve for $b$: $7=\frac{2}{3}(1)+b$.
Solve for $b$:
$b+\frac{2}{3}=7$
$b=\frac{19}{3}$.
Plug values of $m$ and $b$ into the formula to get the equation of the line: $y=\frac{2}{3}x+\frac{19}{3}$.
Multiply by 3 on both sides to simplify: $3y=2x+19$.
