A hiker carried 1 gallon of water on a hike. She drank 1/2 of the water when she stopped to rest and gave an equal amount of the
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Answer:
see attached
Step-by-step explanation:
Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change) and "rise" (vertical change) between the marked points.
In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.
The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.
If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)
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