Answer: The slope is [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
1. You need to apply the following formula for calculate the slope:
[tex]m=\frac{y_{2}-y_1}{x_{2}-x_1}[/tex]
2. Given the points, (3,-4) and (7,6), you have:
[tex]y_{2}=6\\y_1=-4\\x_{2}=7\\x_{1}=3[/tex]
3. Substitute these values into the formula for calculate the slope, as following:
[tex]m=\frac{6-(-4)}{7-3}\\m=\frac{10}{4}[/tex]
4. Simplify the result. Therefore, you obtain that the slope is:
[tex]m=\frac{5}{2}[/tex]
