Question

This looks familiar to me, but I can’t quite place it.

Answer 1

You can use the following formula to calculate the slope of a line:

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

Where the points that are shown below are on the line:

`(x_1,y_1);(x_2,y_2)`

In this case, you can identify these points on the line:

`\mleft(6,10\mright);\mleft(4,20\mright)`

So you can set up that:

`\begin{gathered} y_2=20 \\ y_1=10 \\ x_2=4 \\ x_1=6 \end{gathered}`

Then, substituting values into the formula and evaluating, you get:

`m=(20-10)/(4-6)=(10)/(-2)=-5`

Therefore, the answer is:

`m=-5`