Answer
$y-5=3(x-9)$
Work Step by Step
With the given points, $
(9,5)$ and $(8,2),$ then
\begin{align*}
y_1&=
5
,\\y_2&=
2
,\\x_1&=
9
,\text{ and }\\ x_2&=
8
.\end{align*}
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope, $m,$ of the line connecting the two given points is
\begin{align*}
m&=
\dfrac{5-2}{9-8}
\\\\&=
\dfrac{3}{1}
\\\\&=
3
.\end{align*}
Using $
y-y_1=m(x-x_1)
$ or the Point-Slope Form, with $m=
3
$ and using the point $
(9,5)
$, then
\begin{align*}
y-5&=3(x-9)
.\end{align*}
A Point-Slope Form of the line with the given conditions is $
y-5=3(x-9)
.$
