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Readers ask: When is the slope undefined?

How do you know if a slope is undefined?

Note that when a line has a positive slope it goes up left to right. Note that when a line has a negative slope it goes down left to right. Note that when a line is horizontal the slope is 0. Note that when the line is vertical the slope is undefined.

What if the slope has a 0 on top?

When the 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 ). If the “bottom” of the fraction is that means the two x-values are the same. Thus that line is vertical (undefined slope).

Can you have an undefined slope?

The slope of a vertical line is undefined, and can‘t be found. This is because the denominator of the rise over run fraction is always 0.

Is a slope of 0 4 undefined?

04=0 is defined. 40 is not.

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

Can you have a slope of 0 6?

The slope-intercept form is y=mx+b y = m x + b, where m m is the slope and b b is the y-intercept. Remove the parentheses around the expression 0,6 0, 6. The equation is not linear, so the slope does not exist.

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Is a zero slope 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). because division by zero is an undefined operation.

What is the slope of 0 7?

1 Answer. 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 is the slope of the line?

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

What does an 0 slope look like?

‘ When the ‘rise’ is zero, then the line is horizontal, or flat, and the slope of the line is zero. 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 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.

What is the difference between an undefined slope and a zero slope?

1.An undefined slope is characterized by a vertical line while a zero slope has a horizontal line. The undefined slope has a zero as the denominator while the zero slope has a difference of zero as a numerator.

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