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Any vertical line is parallel to the y-axis in a co-ordinate plane.

Therefore the angle of inclination is equal to 90 degrees.

According to the formula , slope of a line = tanΘ

Θ = 90.

Therefore slope = tan 90

= sq.rt of {0/(4-4)}

= sq.rt of 0/0

= 0/0

= undefined.

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โˆ™ 2010-03-17 14:11:49
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Q: Why the slope of any vertical line is undefined?
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Which two points lie on a line with an undefined slope?

Any two points on a vertical line. For example, the line x=7 is a vertical line with undefined slope. Every point (7,y) where y is any real number, lies on the same line.


What is the difference between undefined slope and zero slope?

A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.


What type of line has a defined slope?

Any continuous line as long as it does not have a vertical section.


If the equation of a line has an undefined slope and passes through the point 1 3 which form would be used to write the equation of the line?

x = 1 (the line intersects the x-axis at 1, and is parallel to the y-axis)We cannot write the equation on the Slope-intercept form, since the slope of the line is undefined. 1 is the x-coordinate of any point on the given line.


How can you tell which equation has the steepest slope?

if you know the slope of two epuations, (if the equations are in slope intercept form (y=mx+b, y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept) the line represented by the line with the larger slope (|m|) has the steeper slope. If the lines have the same m, the slopes are either equal or negative. If the slope of either line is undefined, it is steeper than any slope other than one that is undefined, in wich the slopes are equal

Related questions

The slope of every vertical line is?

The slope of any vertical Line is undefined because anything divided by zero is undefined.


How do you write an equation with and undefined slope?

Any vertical line has an undefined slope. The equation of the vertical line is x = a where the x-intercept is a.


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.


Can you undefine the slope of a horizontal line?

Any line, except a vertical line has a well defined slope. It cannot be undefined. In much the same way as you cannot be undefined!


When a line has an undefined slope what will any two points on the line have in common?

They are both in the same vertical plane.


What is the slope of a line that is parallel to a horizontal line?

Well since the lines are parallel they would have the same slope. And the slope of any horizontal line is 0. The slope of a vertical line is undefined.


Why the slope of a vertical line is undefined?

if you mean what is the slope, it would be (for example) 5/0 or any number over zero


Which two points lie on a line with an undefined slope?

Any two points on a vertical line. For example, the line x=7 is a vertical line with undefined slope. Every point (7,y) where y is any real number, lies on the same line.


What is a vertical line?

=== === A vertical line is a line with an undefined slope. Note that this is different from an infinite slope. The slope of a vertical line is said to be undefined. It may be said to go "straight up and down"A vertical line is drawn on a graph by plotting x = nwhere n equals any real number. The value of n is located on the x axis and then a line is drawn parallel to the yaxis through that x value. Note that the y axis itself is a vertical line. There are an infinite number of possible lines with an undefined slope, of course. Any number on the x axis can have a line drawn through it parallel to the y axis, and any one of those lines is said to be a vertical, and will have a slope that is undefined.A simpler definition say a vertical a line is a line that goes up to down


What lines always have an undefined slope?

Vertical ones. That's any line whose equation is [ X = a number ].


What is the difference between undefined slope and zero slope?

A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.


How do you solve for an undefined slope?

An undefined slope will always be a vertical line through any point of choice where the value of x = 0; while the y value changes indefinitely, the value of x will always equal zero, and therefore is undefined.

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