Question

A straight line passes through the points A(2, -4) and B(5, -2).
Find the slope of the line AB.

Answer 1

We have the two points form for slope of a straight line,

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

Let, $(x_2,y_2)=(2,-4)$ and $(x_1,y_1)=(5,-2)$

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-5}{-4-(-2)}=\frac{-3}{-2}=\frac{3}{2}$

$\therefore$ The slope of $AB=\frac{3}{2}$