Answer:
The linear function is [tex]y = -3x + 2[/tex]
Step-by-step explanation:
A linear function has the following format:
[tex]y = mx + b[/tex]
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 [tex]b = 2[/tex]. So
[tex]y = mx + 2[/tex]
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: [tex]m = \frac{-3}{1} = -3[/tex]
So
[tex]y = -3x + 2[/tex]
