(a) \ \

The linear function is . \ \

Compare the function with slope-intercept form of line equation is . \ \

Where, is slope and is  -intercept. \ \

Slope . \ \

- intercept . \ \

(b) \ \

Graph the linear function using rise and run :

  - intercept is 3, so the line crosses the - axis at . \ \

Using slope find the next point.

Slope = .

Start at point , move 2 units up and 1 unit right, then plot the point . \ \

 Draw a line through these points. \ \

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(c)

Slope is the rate of change of linear function.

Average rate of change of a function is .

  and

.

(d)

The linear function is .

Slope is 2, which is positive.

So the function  is increasing on the interval .

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