Question

Find the slope of the line parallel to AB if:

(i) A=(−2, 4) and B=(0, 6)

Answer 1

Finding the slope of the line parallel to AB

Given, points are A (−2, 4) and B (0, 6).

Let,$(x_1,y_1)=(-2,4)\text{and}(x_2,y_2)=(0,6).$

We know that,

slope $=\frac{y_2-y_1}{x_2-x_1}$

$\Rightarrow \text{slope}=\frac{6-4}{0+2}$

$\Rightarrow \text{slope}=\frac{2}{2}=1$

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

Hence, the slope of the line parallel to AB is 1.