On a study guide! ! what is the value of x? 6m + 3 = 2m - 4 / 2

6m+3=2m-4/2

6m+3=2m-2         divide 4/2

4m+3=-2               subtract 2m from right side and subtract it from 6m

4m=-5                  subtract 3 from right side and from -2

4m/4=5/4           divide to isolate m

m=1.25

hope it helps!

- "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."

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).