Question

What is the slope of the line that passes through the points (1,-3) and (4,2)?

Answer 1

Given 2 points, the slope m is computed by

`m=(y_2-y_1)/(x_2-x_1)`

where

`\begin{gathered} (x_1,y_1)=(1,-3) \\ (x_2,y_2)=(4,2) \end{gathered}`

By substituying these values into m, we have

`m=(2-(-3))/(4-1)`

Hence,

`\begin{gathered} m=(2+3)/(3) \\ m=(5)/(3) \end{gathered}`

Then, the slope is 5/3.