Which equation is equivalent to y=2/3x-6
A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

D. 2x-3y=18

Step-by-step explanation:

1. multiply both sides by 3 to get rid of the fraction

( 3)(y)=(x -6)(3)

2. That gives 3y=2x-18

3. subtract 2x on both sides

   3y=2x-18

 -2x = -2x

3. that gives -2x+3y=-18

4. then multiply by -1 to make 2x positive

 -1(-2x+3y=-18)

5. and that gives 2x-3y=18

- "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."

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w