The linear function is .

(a)

The function is .

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

where is the slope and is the - intercept.

Slope of the line equation is .

- intercept of the line equation is .

(b)

Graph the linear function using rise and run method.

- intercept is , therefore the line crosses the - axis at .

Slope = .

Start at point , move unit up and unit right, then plot the point .

Draw a line through these points.

(c)

Average rate of change of a linear function is .

Consider and .

The average rate of change .

The average rate of change is .

(d)

The linear function is .

Slope is .

The function is constant.

(a) Slope of the line and - intercept .

(b) Graph of the function using slope and -intercept :

(c) The average rate of change is .

(d) The function is constant.