To compare between slopes, we first have to calculate the value of the slope of the graph given using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For this, we have to choose two points: (-3, 1), (-1, 3). Replacing the values we get:
[tex]m=\frac{1_{}-3_{}}{-3_{}-(-1)_{}}=\frac{-2}{-3+1}=\frac{-2}{-2}=1[/tex]
Then, our slope is equal to 1.
Now, we have to calculate the slopes of the tables using the same formula and choosing 2 points.
• A
[tex]m=\frac{0-(-2)}{1-(-1)}=\frac{2}{1+1}=\frac{2}{2}=1[/tex]
This option has the same slope as ours, then, it is not the answer.
• C
[tex]m=\frac{3-(-7)}{4-(-4)}=\frac{3+7}{4+4}=\frac{10}{8}=1.25[/tex]
This is greater than our slope, then it is not the answer.
Also, option B has a greater slope as 5/2 = 2.5.
Finally, 1/4 = 0.25 is less than our slope.
Answer: D
