Answer
$y=-2.5x+5$
Work Step by Step
RECALL:
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.
The graph in Exercise 98 has $(0, 5)$ as its y-intercept so $b=5$.
Thus, the tentative equation of the line is $ y=mx + 5$.
The line passes through the point $(2, 0)$. To find the value of $m$, substitute the x and y coordinates of this point into the tentative equation above to obtain:
$y=mx+5
\\0=m(2)+5
\\0=2m+5
\\0-5=2m
\\-5 = 2m
\\\frac{-5}{2}=\frac{2m}{2}
\\-2.5 = m$
Therefore, the equation of the line in Exercise 98 is:
$y=-2.5x+5$
