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

y = x/2 + 3

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c represents the y intercept.

m represents the slope of the line.

m = (y2 - y1)/(x2 - x1)

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 6

y1 = 3

x2 = 6

x1 = 0

Slope,m = (6 - 3)/(6 - 0) = 3/6 = 1/2

To determine the y intercept, we would substitute x = 6, y = 6 and m= 1/2 into y = mx + c. It becomes

6 = 6 × 1/2 + c

6 = 3 + c

c = 6 - 3

c = 3

The equation becomes

y = x/2 + 3