Question

The slope of the line passing through the points $A(-2,1)$ and $B(0,3)$ is:

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $1$
• D. $-1$

Answer 1

Answer: (C)

$1$

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 $A(x_1,y_1)=(-2,1)$ and $B(x_2,y_2)=(0,3)$ is

$m=\frac{3-1}{0-(-2)}$
$⟹m=\frac{2}{2}$
$\therefore m=1$

Hence, the slope is $1$.