Question

16. Given the graph below, write the equation of the line graphed. Equation:

Answer 1

We have the following:

The equation has the following form

`y=mx+b`

where m is the slope and b is y-intercept

The slope formula is as follows

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

The point are (-4, 8) and (6, -4)

replacing:

`m=(-4-8)/(6-(-4))=(-12)/(10)=-(6)/(5)`

In the graph we can see that the y-intercept is equal to 4, therefore, the equation would be

`y=-(6)/(5)x+4`