Question

Use the table to write a linear function that relates y to x .

Answer 1

Answer:

The linear function is $y = -3x + 2$

Step-by-step explanation:

A linear function has the following format:

$y = mx + b$

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 $b = 2$. So

$y = mx + 2$

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: $m = \frac{-3}{1} = -3$

So

$y = -3x + 2$