Here’s a graph of a linear function. Write the equation that describes that function. (Zoom in if blurry)

(Express it in slope-intercept form.)

y = x/3 - 4

Step-by-step explanation:

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

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph,

y2 = - 2

y1 = - 4

x2 = 6

x1 = 0

Slope,m = (- 2 - - 4)/(6 - 0) = 2/6 = 1/3

To determine the intercept, we would substitute x = 0, y = - 4 and m= 1/3 into y = mx + c. It becomes

- 4 = 1/3 × 0 + c

c = - 4

The equation becomes

y = x/3 - 4

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step-by-step explanation: