Graph -y + 1 = 0 by finding the x and y intercepts

Write the equation in slope-intercept form.

-y + 1 = 0

-y = -1

y = 1

This function is a constant. Regardless of the x-value, y will always be equal to 1. This will be graphed as a horizontal line running through the y-intercept of (0, 1).

- "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."