Question

What is the slope of a line passing through points A(-2,-3) and B(4,6)

Answer 1

$\huge\mathbb\color{purple}{AN}\purple{SW}\pink{ER}\color{pink}{:}$

$if \: the \:two\: points\: are \\\:\:(x_1,y_1)\: , \:(x_2,y_2)\: then \: slope\: is \\ m = \frac{y_2 -y _1}{x_2 -x_1 }$

So for slope of A(-2,-3) and B(4,6) is

$m = \frac{6 - ( - 3)}{4 - ( - 2)} \\ = \frac{6 + 3}{4 + 2} \\ = \frac{9}{6} \\ = \frac{3}{2}$