Which graph represents the solution to the given system y=-5x-2 y+2=-5x

The graph in the attached figure

Step-by-step explanation:

we have

-------> equation A

-----> equation B

Isolate the variable y in the equation B

------>

Equation A and equation B are equal

Line A and Line B are the same

therefore

The system of equations is a consistent dependent system

The system of equations has infinitely solutions

All ordered pairs belong to the line are solutions of the system

see the graph in the attached figure

- "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."