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