Question

What is the linear function equation represented by the graph?

Answer 1

`y=(1)/(3)x -4`

Explanation:

To write a linear function, use y=mx+b where m is the slope and b is the y-intercept. The y-intercept is where the line on the graph crosses the y-axis. On the graph is crosses at (0,-4). So b=-4. To find the slope, subtract the difference between two points on the line which cross through a grid line intersection. (0,-4) is one point. (3,-3) is another.

`(-3--4)/(3-0)=(-3+4)/(3) =(1)/(3)`

Input 1/3 and b=-4 into y=mx+b.

`y=(1)/(3)x -4`