Graph both functions to find the solution(s) to the system. {y=x²−2x+4
y=2x+1

Use the line tool to graph the line.

Use the parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.

graphed it with desmos (free as app and website).

the solutions are in the screenshot

(1, 3)

(3, 7)

linear pair postulates

- "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."