Find the slope and y-intercept of the line, x = 5.
When a linear equation starts off "x = " and then it is a constant term (with no variable) on the other side of the equal sign, this indicates a vertical line.
Vertical lines have slopes which are undefined.
rise
----- = slope For a vertical line, it is all rise and no run. Such as 5/0 or 3/0 or 128/0.
run
When you divide by zero, it is considered undefined.
Therefore, the slope of x = 5 is undefined.
Also, since it is a vertical line, passing through 5 on the x-axis,
there is no y-intercept.
slope = undefined
no y-intercept
Below, is the graph of x = 5.
Vertical lines have slopes which are undefined.
rise
----- = slope For a vertical line, it is all rise and no run. Such as 5/0 or 3/0 or 128/0.
run
When you divide by zero, it is considered undefined.
Therefore, the slope of x = 5 is undefined.
Also, since it is a vertical line, passing through 5 on the x-axis,
there is no y-intercept.
slope = undefined
no y-intercept
Below, is the graph of x = 5.
- Algebra House
