Answer:
[tex]\boxed{C.\:\: 2}[/tex]
Step-by-step explanation:
The given line passes through the points,
[tex](x_1,y_1)=(-2,-3)[/tex] and [tex](x_2,y_2)=(3,7)[/tex].
We can find the slope using the following;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
or
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
Using the first formula;
We obtain;
[tex]m=\frac{7--3}{3--2}[/tex]
[tex]\Rightarrow m=\frac{7+3}{3+2}[/tex]
[tex]\Rightarrow m=\frac{10}{5}[/tex]
[tex]\Rightarrow m=2[/tex]
The correct answer is C.
