Question

Write a rule for the linear function in the graph.

Answer 1

I think it's y = -4x – 13 but I'm not sure, can someone help?

Answer 2

to check to see if your answer is correct, plug those two given points from the graph into your equation.... if they both give correct statements, then your answer is correct, otherwise it's wrong.

plug (3, -1) and (4, 3) into y = -4x - 13

Answer 3

how would I do that though?

Answer 4

to check the first point, (3, -1), replace the x, y coordinates with the x, y in your equation:
like this:

-1 = -4(3) - 13

now, is that a true statement? you might need to simplify

Answer 5

no, so that's not it.

Answer 6

another way to know that 4x is correct is by counting down from point (4,3) and counting left from point (3,-1). You can see that when you count down you are going down 4 times and when you count left, you are going left 1 space. The answer is 4x not -4x, because -4/-1=4. 4x is part of the equation, not -4x.

Answer 7

So it is y = 4x – 13!

Answer 8

yep... verify to see both points work... you'll see that it works for y = 4x - 13