Answer
$m=$$\frac{7}{4}$
Work Step by Step
To find the slope of the line that passes through the points in the table, use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Calculate the slope between each pair of points to find out if the slope is constant.
The first pair of points is: (-3,14.25) and (0,9)
Substitute: $m=\frac{9-14.25}{0-(-3)}=\frac{-5.25}{3}$
The second pair of points is: (0,9) and (3,3.75)
Substitute: $m=\frac{3.75-9}{3-0}=\frac{-5.25}{3}$
The third pair of points is: (3,3.75) and (6,-1.5)
Substitute: $m=\frac{-1.5-3.75}{6-3}=\frac{-5.25}{3}$
The slope is constant between each pair of points, so the slope of the line that passes through these points is $\frac{-5.25}{3}$. HOWEVER, decimals in a fraction make it confusing and messy. The best way to fix this is to find the smallest number to multiply the numerator by to make it whole. In this case, $-5.25$$\times$$4=-21$. Now, what is done to the numerator MUST be done to the denominator. So, $3$$\times$$4=12$. The new fraction $\frac{-21}{12}$=$\frac{-7}{4}$.
