Question

Slope of the line passing through the points $C(3,5)$ and $D(-2,-3)$ is

• A. $\frac{2}{5}$
• B. $\frac{8}{5}$
• C. $-\frac{8}{5}$
• D. $8$

Answer 1

Answer: (B)

$\frac{8}{5}$

Slope of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $\frac{y_2-y_1}{x_2-x_1}$
The slope of line passing through $C(x_1,y_1)=(3,5)$ and $D(x_2,y_2)=(-2,-3)$ is

$m=\frac{-3-5}{-2-3}$

$⟹m=\frac{8}{5}$

Hence, the slope is $\frac{8}{5}$.