Question

What is the slope between the points (3,-4)&(7,6)?
A.) -2/3
B.) 10/3
C.) 2/3
D.) -10/3

Answer 1

Answer: The slope is $\frac{5}{2}$

Step-by-step explanation:

1. You need to apply the following formula for calculate the slope:

$m=\frac{y_{2}-y_1}{x_{2}-x_1}$

2. Given the points, (3,-4) and (7,6), you have:

$y_{2}=6\\y_1=-4\\x_{2}=7\\x_{1}=3$

3. Substitute these values into the formula for calculate the slope, as following:

$m=\frac{6-(-4)}{7-3}\\m=\frac{10}{4}$

4. Simplify the result. Therefore, you obtain that the slope is:

$m=\frac{5}{2}$