Answer:
Slope (represented by m) = [tex]\frac{1}{3}[/tex].
Step-by-step explanation:
One should first find two coordinates in order to determine the slope. I see (7,0) and (4,-1) so I will be using those two. To find the slope, one subtracts the y-value of one coordinate from the y-value of the other, then divides that by the x-value of the same coordinate from the x-value of the other coordinate. This formula for this is as follows below:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now, plug this in: [tex]\frac{-1 - 0}{4 - 7}[/tex], which becomes [tex]\frac{-1}{-3}[/tex], which becomes [tex]\frac{1}{3}[/tex].