Graph of linear function.

y = x/2 - 5

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

From the graph,

y2 = - 1

y1 = - 4

x2 = 8

x1 = 2

Slope,m = (- 1 - - 4)/(8 - 2) = 3/6 = 1/2

To determine the intercept, we would substitute x = 2, y = - 4 and m= 1/2 into

y = mx + c. It becomes

- 4 = 1/2 × 2 + c

- 4 = 1 + c

c = - 4 - 1

c = - 5

The equation becomes

y = x/2 - 5

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step-by-step explanation:

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step-by-step explanation: