Question

Find the slope of the line that would pass
through the ordered pairs below.

(-4, -52) and (-1, -22)

Answer 1

Answer:

$10$.

Step-by-step explanation:

When a line in a plane goes through two points $(x_{0},\, y_{0})$ and $(x_{1},\,y_{1})$ ($x_{0} \ne x_{1}$), the slope $m$ of this line would be:

$\displaystyle m = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}$.

In this question, the $x$-coordinates of the two points are indeed different. Hence, the equation above would be applicable, and the slope of this line would be:

$\begin{aligned} m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{(-22) - (-52)}{(-1) - (-4)} \\ &= \frac{30}{3} \\ &= 10\end{aligned}$.

In other words, the slope of this line would be $10$.