we know that
The formula to calculate the slope between two points is equal to

<u>Part a) Find the slope of line PQ</u>

substitute in the formula


Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>

<u>Part b) Find the slope of line MN</u>

substitute in the formula


Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term
will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
<span>Simplifying
k3 + 4k2 + 4k = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = 10k + -1k3
</span><span>
</span>
Answer:
8 feet apart
Step-by-step explanation: