Question

1. Write an equation that represents the relationship shown in the table .

Answer 1

y = x - 4

Explanation:

You want it to be in the form of y=mx+b

First, find the slope:

`(y2-y1)/(x2-x1)` =
`(6-4)/(10-8) = (2)/(2) = 1`

So the slope (m) = 1

Now, to find b, plug in some data (we will use the point (8, 4):

4 = (1)(8) + b

4 = 8 + b

4 - 8 = b

-4 = b

Therefore, the equation is y = x - 4