Question

What is the linear function equation represented by the graph?

Answer 1

Answer:

$y=\frac{1}{3}x -4$

Step-by-step 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.

$\frac{-3--4}{3-0}=\frac{-3+4}{3} =\frac{1}{3}$

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

$y=\frac{1}{3}x -4$