A line passes through the points (p, a) and (p,-a) where p and a are real numbers and p≠0. Describe each of the following. Explain your reasoning. slope of the line
equation of the line
-intercept
slope of a line perpendicular to the given line

Answer

(p,a) and (p,-a) are

slope of the line

equation of the line

intercept

slope of a line perpendicular to the given line

no pictures of the graph

- "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."