Question

12 11 10 4 T B 22 3 5 4 -12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1 1 +9 11

Answer 1

`y=-(1)/(6)x+2`

Explanation:

The equation in slope and intercept form is as follows

`\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}`

And the formula to calculate the slope is the following

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

The points are (-12, 4) and (12, 0), replacing:

`m=(0-4)/(12-(-12))=(-4)/(12+12)=-(4)/(24)=-(1)/(6)`

Graphically we can see that b is equal to 2, since it is where the y-axis intercepts.

Therefore, the equation is:

`y=-(1)/(6)x+2`