If a linear equation is written in the form y=1/2x-2 , which method could be used to graph the line represented by the equation?
A. Plot the x-intercept(-2,0) and use the slope of 1/2 to find a second point.
B. Plot the y-intercept (0,1/2) and use the slope of –2 to find a second point.
C. Plot the x-intercept (1/2,0) and use the slope of –2 to find a second point.
D Plot the y-intercept (0,-2) and use the slope of 1/2 to find a second point.

D

Step-by-step explanation: the equation is written is slope- intersect form were -2 is the y intersect. the coordinate of the y intersect is (0,-2). the number in front of the x is the slope which is 1/2. so the answer is D.

step-by-step :

- "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."