AnswersDriveThe slope of a horizontal line. A horizontal line has slope 0 because all its points have the same y-coordinate. As a result, the formula used for slope evaluates to 0.
So, can a slope be zero?
Since we did not have a change in the x values, the denominator of our slope became 0. This means that we have an undefined slope. If you were to graph the line, it would be a vertical line, as shown above.
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What is the slope of the line y 2?
y = m*x + b where m is the slope and b the y-intercept (the value of y where the line crosses the y -axis)
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y = -2.
m = 0 and the y-intercept is -2 (as the line is parallel to the x-axis, there is no x-intercept)
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y = -2.
m = 0 and the y-intercept is -2 (as the line is parallel to the x-axis, there is no x-intercept)
2
What does the M stand for in Y MX B?
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
3
Can a function have two y intercepts?
A graph can have many intercepts, one intercept, or no intercepts. If the graph is the graph of a function then it has at most one -intercept, since the graph of a function must pass the vertical line test and the y-axis is one such vertical line.
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What is the meaning of undefined in math?
Undefined. An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers. SEE ALSO: Ambiguous, Complex Infinity, Directed Infinity, Division by Zero, Ill-Defined, Indeterminate, Well-Defined.
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How do you find the slope and y intercept of a line?
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
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How does a graph fail the vertical line test?
To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
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Can a slope have a zero in the numerator?
That means the change in y, which is the numerator of the slope formula would be -2 - (-2) = 0. Having 0 in the numerator and a non-zero number in the denominator means only one thing. The slope equals 0. Now let's look at the y-intercept.
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What is the equation of a horizontal line?
Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept. Since y always takes the value -1, an equation for the line is y = - 1.
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What do you do if the slope is 0?
Mathwords: Zero Slope. The slope of a horizontal line. A horizontal line has slope 0 because all its points have the same y-coordinate. As a result, the formula used for slope evaluates to 0.
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What line has a undefined slope?
Mathwords: Undefined 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..
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How do you find an undefined slope?
A vertical line has undefined, or infinite, 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.'
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What is the definition of zero slope?
A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.
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What are undefined slope?
An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!
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What is the definition of run in math?
Run. more How far a line goes along (for a given distance going up). Rise/Run (Rise divided by Run) gives us the slope of the line.
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How do you know when a slope is steep?
When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line. The next example shows a line with a negative slope.
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Can you have a negative slope?
Negative Slope. If a line has a positive slope (i.e. m > 0), then y always increases when x increases and y always decreases when x decreases. Thus, the graph of the line starts at the bottom left and goes towards the top right.
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How can a slope be 0?
The slope of a line can be thought of as 'rise over run.' When the 'rise' is zero, then the line is horizontal, or flat, and the slope of the line is zero. The equation of a line with zero slope will not have an x in it. It will look like 'y = something.'
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Why is 0 0 undefined?
In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value; when it is the form of a limit, it is an indeterminate form.
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What is 5 divided by 0?
When something is divided by 0, why is the answer undefined? The reason is related to the associated multiplication question. If you divide 6 by 3 the answer is 2 because 2 times 3 IS 6. If you divide 6 by zero, then you are asking the question, "What number times zero gives 6?"