I need to determine the figure is a parallelogram using the slope formula

KL // MN & KN // LM

Step-by-step explanation:

One property of parallelogram is every two opposite sides are parallel to each other and if a two lines (sides) are parallel so they must have the same slope.

In the parallelogram KLMN:

using the slope formula = y2-y1/x2-x1

plug the numbers: KL // MN & KN // LM so KLMN is a parallelogram

- "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."