Answer
$\color{blue}{y=0.175x+8.75}$
Work Step by Step
RECALL:
(1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
(2) The slope is the rise (change in $y$) over run (change in $x$).
The given graph has a y-intercept of $(0, 8.75)$.
This means $b=8.75$.
Note that from $(0, 8.75)$ to the other point on the line $(10, 10.50)$:
rise =$10.50-8.75=1.75$
run = $10-0=10$
Thus, the slope of the line is $\dfrac{rise}{run} = \dfrac{1.75}{10} = 0.175$.
Therefore, the equation of the line in slope-intercept form is $\color{blue}{y=0.175x+8.75}$.
