Question

What is the function rule for the line?

f(x)=−32x+2
f(x)=−32x−2
 f(x)=32x−2
f(x)=−23x−2

Answer 1

The answer is f(x) = -3/2x - 2

good luck!

Answer 2

To find the function rule for the line ,

we pick two points from the graph

Lets pick (-2,1) and (0,-2)

We find the slope using two given points

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

(-2,1) is (x1,y1) and (0,-2) is (x2,y2)

Plug in the values in the slope formula

`slope = (-2 - 1)/(0 - (-2))`

`slope = (-3)/(2)`

To frame equation we use equation y = mx + b

Here y intercept is -2 that is our b

So equation becomes
`y=(-3)/(2) x -2`