Find the equation of the line in slope-intercept form. slope is  −7 and through (−3, 16) 

1) Create was we already know in the equation. 16=-7(-3)+b. (This is using the initial equation of y=mx+b.)

2) Simplify and solve for b: 16=21+b = -5=b

3) Replug your be value into your equation: y=-7x-5.

Answer

y=-7x-5

Words: y equals negative seven x, minus five.

y=mx+b

16= -7*-3+b

16=21+b

b=-5

y=-7x-5

- "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."