Question

What is the function rule for the line?

f(x)=−3/2x+2

f(x)=−3/2x−2

f(x)=−2/3x−2

f(x)=3/2x−2

Answer 1

f(x) = -2/3 - 2

Because it intercepts the y axis at -2 and the rise over run is -2 (going down two) and 3 (going right three)

Answer 2

`y=-(2)/(3)x-2`

Explanation:

To find the equation that represents the line, we just need to use two points on the line and find the slope first.

We are gonna use points (-3,0) and (0,-2). The slope formula is

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) ) \\m=(-2-0)/(0-(-3))\\m=(-2)/(3)`

Then, we use the point-slope formula

`y-y_(1) =m(x-x_(1) )\\y-0=-(2)/(3) (x-(-3))\\y=-(2)/(3)x-2`

Therefore, the right answer is the third choice.