Question

Which of the following slope of the line pass through the point(1, -3) and (0, -2)?

Answer 1

The slope (m) of the line passing through

$(x_1,y_1)$

and

$(x_2,y_2)$

is given by the formula >>>>>

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

Given the two points,

$\begin{gathered} (x_1,y_1)=(1,-3) \\ (x_2,y_2)=(0,-2) \end{gathered}$

Let's substitute them into the formula and find the slope of the line passing through these 2 points.

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-2-(-3)}{0-1} \\ m=\frac{-2+3}{-1} \\ m=\frac{1}{-1} \\ m=-1 \end{gathered}$The slope is - 1