Question

Find the slope of the line that passes through the points (5,-7) and (2,9).

Answer 1

Given two points on a line, we can find its slope using the following formula

`\begin{gathered} (x_1,y_1),(x_2,y_2)\to\text{ points on the line} \\ \Rightarrow m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

In our case,

`\begin{gathered} (x_1,y_1)=(5,-7),(x_2,y_2)=(2,9) \\ \Rightarrow m=(9-(-7))/(2-5)=(9+7)/(-3)=(16)/(-3)=-(16)/(3) \\ \Rightarrow m=-(16)/(3) \end{gathered}`

Therefore, the slope is equal to -16/3.