What is the slope of the line shown below?
A. 2
B. - 1/2
C. 1/2
D. -2

Hi there.
The answer is D. - 2
Explanation:
We calculate the slope by using rise/run.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Our rise is (-2,5) and our run is (3,-5)
[tex]m = \frac{ 5 -( - 5 )}{ - 2 - 3} \\ m = \frac{ 5 + 5}{ - 5 } \\ m = \frac{10}{ - 5} \\ m = - 2[/tex]
Answer:
Tthe slope of the line will be: m = -2
Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between (-2, 5) and (3, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:5\right),\:\left(x_2,\:y_2\right)=\left(3,\:-5\right)[/tex]
[tex]m=\frac{-5-5}{3-\left(-2\right)}[/tex]
[tex]m=-2[/tex]
Therefore, the slope of the line will be: m = -2
Hence, option D is true.