Question

Find the slope of the line parallel to AB if:
$\left(ii\right)A=(0,-3)\text{and}B=(-2,5)$

Answer 1

Finding the slope of the line parallel to AB
Given, points are A$(0,-3)$ and B $(-2,5)$.
Let, $(x_1,y_1)=(0,-3)\text{and}(x_2,y_2)=(-2,5)$.

We know that, slope $=\frac{y_2-y_1}{x_2-x_1}$

$\Rightarrow \text{slope}=\frac{5-(-3)}{-2-0}$

$=\frac{5+3}{-2-0}$

$=\frac{8}{-2}$

$=-4$

Also, if two lines are parallel their slopes are equal.

Hence, the slope of the line parallel to AB is $-4$.