0
Because all x-axis values in a vertical line have the same value and this causes the denominator of the slope formula to result in zero when the formula is evaluated/computed. That of course causes the "undefined" division condition to occur.
More Information about the "undefined" condition:
y/x=? asks the question "How many times can x be subtracted from y until a value less than x is the result?
For example: 8/2=?
8-2=6
6-2=4
4-2=2
2-2=0 (this division is possible and definite (i.e. "defined") because it is possible to subtract 2 from 8 exactly 4 times.
But, zero in the denominator causes a problem: 8/0=?
8-0=8
8-0=8
8-0=8
8-0=8 (this division is NOT definite nor definable, hence "undefined" because it is not possible to subtract 0 from 8 "until a value less than 0 is the result." That is the reason dividing by 0 is said to be "undefined".
As stated earlier, when we apply the above knowledge to the slope formula, we can see that a vertical line has the same x values and when substituted into the slope formula "slope = (y2-y1)/(x2-x1)", the denominator will have a result of 0. Having a result of 0 in the denominator causes the "undefined" condition to exist.
What else can I help you with?
Does everyline have a slope and y intercept?
No, vertical lines have an undefined slope.
What type of slope does vertical lines have?
a slope of zero. horizontal is undefined
Do vertical lines always have an undefined slope?
Yes.
What is an undefined slope on a graph?
An undefined slope on a graph occurs when a line is vertical, meaning it runs straight up and down. In this case, the change in the x-coordinate is zero, which makes the slope calculation (rise over run) impossible, as division by zero is undefined. As a result, vertical lines do not have a defined slope.
The slope of every vertical line is?
The slope of any vertical Line is undefined because anything divided by zero is undefined.
Do horizontal lines have an undefined slope?
No. The slope of a horizontal line is zero. The slope of a vertical line is undefined.
Does everyline have a slope and y intercept?
No, vertical lines have an undefined slope.
What type of slope does vertical lines have?
a slope of zero. horizontal is undefined
Do vertical lines always have an undefined slope?
Yes.
What lines always have an undefined slope.?
Vertical lines always have an undefined slope. Slope for y = f(x) is given by :slope = dy/dxdx is zero at any point along a vertical line, making the slope undefined along a vertical line.
When is the product of the slope of two perpendicular lines not equal to -1?
When the lines are horizontal and vertical. (slope of zero) (undefined slope)
Is an undefined slope a vertical or horizontal line?
An undefined slope is vertical.
How many slopes do vertical lines have?
The slope of a vertical line is undefined. The slope of a horizontal line is 0. Hope this helps.
What is the direction of the line with an undefined slope?
A vertical line has an undefined slope.
What word describes the slope of the line passing through points (5 12) and (5 -13)?
It would be a undefined slope.There are four types of slope:Postive slope (when lines go uphill from left to right)Negative slope (when lines go downhill from left to right)Zero slope (when lines are horizontal)Undefined slope (when lines are vertical)
What is an undefined slope on a graph?
An undefined slope on a graph occurs when a line is vertical, meaning it runs straight up and down. In this case, the change in the x-coordinate is zero, which makes the slope calculation (rise over run) impossible, as division by zero is undefined. As a result, vertical lines do not have a defined slope.
Can the graph of a linear functions have undefined slope?
Yes. For example, the lines x=7, x=-1, and x=145 all have an undefined slope; they are all vertical.
