Question

Use the table to write a linear function that relates y to z

X -4, -2, 0, 2
Y 6, 7, 8 , 9

Answer 1

The linear function is

Explanation:

A linear function has the following format:

In which m is the slope and b is the y-intercept(the value of y when x = 0).

In the table, we have that when x = 0, y = 2

This means that . So

Finding the slope:

We take two points, and the slope is given by the change in y divided by the change in x.

Points (0,2) and (1,-1)

Change in y: -1 - 2 = -3

Change in x: 1 - 0 = 1

Slope:

So

Explanation: