Find the slope of the line that passes through (9, 8) and (6, 13). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

slope: -1.6666666

Step-by-step explanation:

Use the formula m=(y2-y1)/(x2-x1)

Substitute values: m=(13-8)/(6-9)

Solve that, and you will find m (slope) = -1.666666

- "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."