Plot the x- and y-intercepts to graph the equation. y=1/3x−1.

The graph of given equation is shown below.

x-intercept is 3 and y-intercept is -1.

Step-by-step explanation:

The given function is

We need to draw the graph of given equation.

At x=0,

So, y-intercept is -1.

Equate f(x)=0 to find x-intercept.

Multiply both sides by 3.

So, x-intercept of the line is 3.

Plot these two points (0,-1) and (3,0) on coordinate plane and connect them by a straight line.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."