Question

What is the linear function equation represented by the graph?

Answer 1

Answer:

f

f(x) =-3/4x +2

Step-by-step explanation:

You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4

Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).

Answer 2

Answer:

f(x)= -x+2

Step-by-step explanation:

Looking at the graph gives us this information:

SLOPE

you can see that for every 1 unit over, it goes one unit down.

slope = rise / run which would be -1/1 which is also just -1

INTERCEPT

the y intercept is 2

equations are typically written in y=mx+b form (where m is the slope and b is the intercept)

so we have y = -1x +2

you don't need to write the 1 because -1x is the same as -x

sof(x)= -x+2