what is the slope of a line that is vertical?
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The slope of a vertical line does not exist! We can't divide by zero, which is of course why this slope value is "undefined". This relationship is always true: a vertical line will have no slope, and "the slope is undefined" or "the line has no slope" means that the line is vertical.
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How to Use the Formula and Calculate Slope. The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
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['Slope = change in y over the change in x.', 'Slope = (y2 - y1)/(x2 - x1)', 'Slope = rise over run.', 'You can pick any two points on a line to calculate the slope.', 'You can double check your answer by trying different points on the line.', 'If the line is going up, from left to right, the slope is positive.']
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Verdict: vertical lines have NO SLOPE. ... We can't divide by zero, which is of course why this slope value is "undefined". This relationship is always true: a vertical line will have no slope, and "the slope is undefined" or "the line has no slope" means that the line is vertical.
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Every vertical line works exactly the same way. They have no slope and their function is in the form x = #, where # is whatever x-value the line goes through. In this example the x-values are all eight, so the equation of the line is x = 8.
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The slope m of a line is one of the elements in the equation of a line when written in the "slope and intercept" form: y = mx+b. The m in the equation is the slope of the line described here.
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Perpendicular lines have slopes that are opposite reciprocals of each other. Therefore, the slope of the line is -2.
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' 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.
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2 Answers. Any line that is parallel to a vertical line is also vertical and has undefined slope.
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In general, Slope Intercept form is y = mx + b. However, a vertical line has an undefined slope . They also do not have a y-intercept, because they run parallel to the y axis. Therefore, the general formula for a vertical line is x = x1.
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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: .
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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.
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The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
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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 slope of the function? The ratio of the vertical change to the horizontal change of any two points on a line, and is constant.
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Slope describes the steepness of a line. The slope of any line remains constant along the line. The slope can also tell you information about the direction of the line on the coordinate plane. Slope can be calculated either by looking at the graph of a line or by using the coordinates of any two points on a line.
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Definition: The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line. Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated.