Question

Find the slope of the line passing through the pair of points or state that the slope is undefined. (5, 3) and (4, 5)

Answer 1

Solution

We are given the two points

$(5,3)and(4,5)$

We want to find the slope

Note: Formula for slope

Given two points (x1, y1) and (x2, y2), then the slope m is given as

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

Here

$\begin{gathered} x_1=5 \\ y_1=3 \\ x_2=4 \\ y_2=5 \end{gathered}$

Substituting into the formula

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5-3}{4-5} \\ m=\frac{2}{-1} \\ m=-2 \end{gathered}$

Therefore, the slope is

$m=-2$