Complete this sentence with the correct choice: y = 4 is a horizontal line with ________.
undefined slope.
a slope of 4.
a slope of 0.
None of the above will make a true statement.
Draw a line through y = 4 and parallel to the x axis. Now, what slope is that?
is it a slope w/0?
Yes, the slope is zero.
To determine the slope of a line, you need two points to calculate the change in y-coordinates (vertical change) divided by the change in x-coordinates (horizontal change). In the case of a horizontal line, all the points on the line will have the same y-coordinate, so the vertical change will always be zero. As a result, the slope is always zero for a horizontal line.
In the given scenario, drawing a line through y = 4 and parallel to the x-axis creates a horizontal line. Since the horizontal line has no change in y-coordinates (vertical change), the slope is indeed zero.