Answer: A line parallel to the y axis has no defined slope, and a line parallel to the x axis has a slope of zero.
Step-by-step explanation:
The slope of a line is given by :-
[tex]\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}[/tex]
Let [tex]y=a[/tex] be a line that is parallel to x axis.
Here, change in y = 0
Then slope of line [tex]y=a[/tex] wil be :-
[tex]\text{Slope}=\frac{0}{\text{Change in x}}=0[/tex]
Let [tex]x=a[/tex] be a line that is parallel to y axis.
Here, change in x = 0
Then slope of line [tex]x=a[/tex] wil be :-
[tex]\text{Slope}=\frac{\text{Change in y}}{0}[/tex]= not defined
Hence, A line parallel to the y axis has no defined slope, and a line parallel to the x axis has a slope of zero.
