Here's a graph of a linear function. Write the equation that describes that function. (Express it in slope-intercept form.)

Step-by-step explanation:

The equation of a linear function in a slope-intercept form is written as

where

m is the slope of the line

q is the y-intercept

We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.

From the graph, we see that this occurs at y = 4, therefore the y-intercept is

Now we have to find the slope. We do that by choosing two points along the line, with coordinates and and by using the equation

Here we take the two points:

(0,4)

(-8,0)

So the slope is

Therefore, the equation of the line is