The quadrilateral SMUG on a coordinate plane has the following characteristics. SM can be represented by the equation x + 4y = 7 where 3 x 7.
UG can be represented by the equation y = 1/4x-5/2 where 2 x 6.
Part A: Graph the figure represented by the information given above.
Part B: Describe the type of quadrilateral represented on the coordinate plane.

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step-by-step explanation:

- "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."

look at photo