Question

What is the slope of a line that passes through the points (1, -2) and (-3, -6)?

Answer 1

Yur answer is m=1 hope it helpes

Answer 2

The slope (m) of a line that passes through the points P and Q can be calculated by the formula: $m=\dfrac{\Delta y}{\Delta x}=\dfrac{y_Q-y_P}{x_Q-x_P}$. So:

$m=\dfrac{\Delta y}{\Delta x}\\\\ m=\dfrac{y_Q-y_P}{x_Q-x_P}\\\\ m=\dfrac{(-6)-(-2)}{(-3)-(1)}\\\\ m=\dfrac{-6+2}{-3-1}\\\\ m=\dfrac{-4}{-4}\\\\ \boxed{m=1}$