Question

What is the slope of the line shown below?(-4,3) and (3,1)

Answer 1

Given the points:

(-4, 3) and (3, 1)

Let's find the slope of the line with the given points.

To find the slope of the line, apply the slope formula below:

$m=\frac{y2-y1}{x2-x1}$

Given:

(x1, y1) ==> (-4, 3)

(x2, y2) ==> (3, 1)

Thus, we have:

$\begin{gathered} m=\frac{1-3}{3-(-4)} \\ \\ m=\frac{1-3}{3+4} \\ \\ m=\frac{-2}{7} \\ \\ m=-\frac{2}{7} \end{gathered}$

Therefore, the slope of the line is:

$-\frac{2}{7}$

ANSWER:

$-\frac{2}{7}$