Answer
$y=4x-5$
Work Step by Step
Using $y-y_1=\dfrac{y_1-y_2}{x_1-x_2}(x-x_1)$ or the Two-Point Form, then the equation of the line passing through the given points, $(
2,3
)\text{ and }(
3,7
)$, is
\begin{array}{l}
y-3=\dfrac{3-7}{2-3}(x-2)
\\\\
y-3=\dfrac{-4}{-1}(x-2)
\\\\
y-3=4(x-2)
\\\\
y-3=4x-8
\\\\
y=4x-8+3
\\\\
y=4x-5
.\end{array}
