Can the slope of a line be undefined?
The slope of a line can be positive, negative, zero, or undefined.
A horizontal line has slope zero since it does not rise vertically (i.e.
y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e.
x1 − x2 = 0)..
What does it mean to have a slope of 0 and an undefined slope?
Remember, a horizontal (flat) line has a slope of 0. A Vertical line (one that forms a right angle or is perpendicular to a flat line) has an undefined slope.
What happens when the numerator is 0 in slope?
If the numerator of the fraction is 0, the slope is 0. This will happen if the y value of both points is the same. The graph would be a horizontal line and would indicate that the y value stays constant for every value of x.
How do you know if a slope is zero or undefined?
A horizontal line has a slope of zero. When there is no change in x as y changes, the graph of the line is vertical. You could not compute the slope of this line, because you would need to divide by 0. These lines have undefined slope.
What does 0 slope look like?
Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like ‘y = something.
What if the slope is undefined?
1 Answer. If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope-intercept form, but it can be written in the form: x=a , where a is a constant.