10 Which statement about the system of equations y = 3x + 9 and y = 3x - 4 is true?*
(10 Points)
The system of equations has no solution.
The system of equations has infinitely many solutions.
The system of equations has exactly one solution.
The equations in the system have different y-intercepts so there are two solutions

- "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."

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)