Question

The slope of the line passing through the points $B(0,-5)$ and $D(1,2)$ is

• A. $-3$
• B. $7$
• C. $-7$
• D. $3$

Answer 1

Answer: (B)

$7$

Slope of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $\frac{y_2-y_1}{x_2-x_1}.$
Therefore, the slope of line passing through $B(x_1,y_1)=(0,-5)$ and $D(x_2,y_2)=(1,2)$ is

$m=\frac{2-(-5)}{1-0}$
$\Rightarrow m=\frac{7}{1}$
$\Rightarrow m=7$

Hence, the slope is $7$.