Question

Find the slope of the line of the containing points(-3,-4) and (5, -2)

Answer 1

To find the slope of the line that contains (-3,-4) and (5,-2).

The slope of the line passing through the points

$(x_1,y_1),(x_2,y_2)$

is

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

Now, let

$\begin{gathered} (x_1,y_1)=(-3,-4) \\ (x_2,y_2)=(5,-2) \end{gathered}$

Then,

$\begin{gathered} m=\frac{-2+4}{5+3} \\ =\frac{2}{8} \\ =\frac{1}{4} \end{gathered}$

Hence, the slope of the line is 1/4.