Question

Write a paragraph about the differences between zero and undefined slope. Include example equations of both and describe what their graphs look like.

Answer 1

In a zero slope, the numerator is zero. The “Y” points (Y1 and Y2) produce a difference of zero between the variables. Zero divided by any non-zero denominator results in zero. This also results in a straight, horizontal line on the graph that neither climbs nor descends along the “X” axis. Between the two points, “Y” is not changing but “X” is increasing. The line is drawn as parallel to the “X” axis. Even though the slope is zero, it is still a determined number compared to the undefined slope.An undefined slope is characterized by a straight, vertical line on the graph with the “X” coordinate points having no existing value of slope. In this situation, the difference between the two “X” points equals to zero. The “X” coordinate, being the denominator, will yield an undefined answer despite the value of the numerator. It is a rule that anything decided by zero is an undefined value since nothing can be divided by zero. The line in the undefined slope because it doesn’t move to the left or the right along the “Y” axis.Graphing and drawing the slope, whether zero, undefined, positive or negative involves two points and a line. AttachIing arrowheads to the line will indicate the direction of the line.

Answer 2

Slope is rise over run

Undefined is when you don't have a run and causes the line to just go up and down and x= the number the line goes through and y= any real number. Zero slope is when you don't have a rise and the line goes left to right and x= any real number and y= the number the line goes through.

This is the graphing.

Undefined
Draw a vertical (up and down) line that does not move at all except for going up and down. Like this:
|
|
|
|

Slope
Draw a Horizontal (Left to Right) line that doesn't move except for going left and right/ Like this:
------------------------------------