When slope is undefined what is the equation of the line?

Last Update: April 20, 2022

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Asked by: Patricia Aufderhar MD
Score: 4.1/5 (23 votes)

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. If the line has an undefined slope and passes through the point (2,3) , then the equation of the line is x=2 .

What is a line with an undefined slope?

Vertical lines have undefined slope. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as a finite number according to the formula, because division by zero is an undefined operation.

How do you find the undefined slope?

If you attempt to find the slope using rise over run or any other slope formula, you will get a 0 in the denominator. Since division by 0 is undefined, the slope of the line is undefined. The equation of a line with undefined slope will look like x ='something. '

What is an example of undefined slope?

A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down. It got its name "undefined" from the fact that it is impossible to divide by zero. ... In general, when the x-values or x-coordinates are the same for both points, the slope is undefined.

Is a slope of 0 4 undefined?

04=0 is defined. 40 is not.

Finding Equation of a Line Given Point and Slope Undefined

42 related questions found

Is a slope of 0 undefined?

Well you know that having a 0 in the denominator is a big no, no. This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined.

What does a positive slope look like?

What the Slope Means. ... A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

How do I find the slope of the line?

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

What is the equation of the line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

How do you write in slope-intercept form?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

What does a slope of 2 look like?

In other words, our line moves 2 units upward every time it moves 1 unit to the right. Our slope is 2. It's a positive number, so we rise up and run to the right. Or, if we want to be contrary, both the rise and run could be negative, moving down and to the left.

What is a zero slope equation?

A zero slope line is a straight, perfectly flat line running along the horizontal axis of a Cartesian plane. The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line's slope is 0 (m = 0).

Can you have a slope of 0 6?

Answer and Explanation: No, the slope 06 is not undefined. By definition, an undefined slope is a slope with a 0 in the denominator of the slope.

What if the slope has a 0 on top?

When the 0 is on the “top” of the fraction, that would mean that the two y-values are the same. Thus that line is horizontal (slope of 0). If the “bottom” of the fraction is 0 that means the two x-values are the same. Thus that line is vertical (undefined slope).

What does it mean to have a slope of 0 and an undefined slope?

No Slope. The "slope" of a vertical line. A vertical line has undefined slope because all points on the line have the same x-coordinate. As a result the formula used for slope has a denominator of 0, which makes the slope undefined..

What does a zero 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.

Is the slope of the line positive or negative?

Pattern for Sign of Slope

If the line is sloping upward from left to right, so the slope is positive (+). If the line is sloping downward from left to right, so the slope is negative (-).

Is 0 divided by 5 defined?

Answer: 0 divided by 5 is 0.

What is the slope of 0 7?

Because a slope of 07 is 0 this is the slope of a horizontal line. The line perpendicular to this would be a vertical line. A vertical line, by definition, has an undefined slope.

What to do if the slope is undefined?

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. If the line has an undefined slope and passes through the point (2,3) , then the equation of the line is x=2 .

What is the slope of 3?

y=3 would be nothing more than a horizontal line through y=3. So the rise is always 0 (it never goes up or down) and the run is always the distance from zero to any point on the line. In other words, the slope would be 0/the change in x, which is always 0.

What is the slope of the line through (- 1 and 3 9?

The slope is 4 .