Question

What is the slope of the line that passes through the points (7.-12) and (-9,36)?

Answer 1

To solve the exercise you can use the slope formula:

`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \text{ Where m is the slope and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}`

So, in this case, you have

`\begin{gathered} (x_1,y_1)=(7,-12) \\ (x_2,y_2)=(-9,36) \end{gathered}`
`\begin{gathered} m=(36-(-12))/(-9-7) \\ m=(36+12)/(-16) \\ m=(48)/(-16) \\ m=-3 \end{gathered}`

Therefore, the slope of the line that passes through the given points is -3.