(-2,1) & (1,-1) the equation of the line is

y = (-2/3)x - 1/3

Step-by-step explanation:

Find the equation of the line through the two points (-2, 1) and (1, -1).

As we increase x from -2 to 1 (an increase of 3), y decreases from 1 to -1 (a decrease of 2).

Thus, the slope of this line is m = rise / run = -2/3.

Using the slope-intercept formula y = mx + b, and substituting the givens m = -2/3, x = -2 and y = 1, we get:

1 = (-2/3)(-2) + b, or

1 = 4/3 + b, or 3/3 = 4/3 + b.

Then b must be 3/3 - 4/3, or -1/3, and the equation of the line is then

y = (-2/3)x - 1/3

50-38=12

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."