2. Consider the following system of equations. y = 2x - 4
y = -x + 5
{
a. Identify the slope and y-intercept of the graph of each equation.
b. Based on your answer for part (a), are the graphs of the two lines intersecting lines, the
same line, or parallel lines? Explain your reasoning.

see below

Step-by-step explanation:

a.

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

b.

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

- "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."