2006-11-23 02:46:56 · 18 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
slope m=(y1-y2)/(x1-x2)
m=(1--1)/(3-3)
m=2/0 which gives us a singularity,
that is, a vertical line.
2006-11-23 02:52:20 · answer #1 · answered by albert 5 · 3⤊ 0⤋
The slope of this line is undefined, because there is no change in the x values. Slope is defined this way:
m = (y-y')/(x-x').
If x and x' are equal, then the denominator is 0. Since division by zero is an undefined operation, the slope is also undefined.
If you were to graph this line, it would be one parallel to the y-axis and passing through the point x = 3 and all points y. Hence the line would be vertical. By definition, vertical lines have an undefined slope.
There are those who argue that, because we could technically divide 0 into another number ad infinitem, that the slope of such a line is infinitely large. Such an argument does have some validity because as the inclination of a line grows more steep, hence more vertical, its slope approaches infinitely large values. This is evidenced by the graph of the tangent function in trigonometry, which by the way, draws its very definition from the concept of slope.
2006-11-23 11:18:39 · answer #2 · answered by MathBioMajor 7 · 3⤊ 0⤋
well, , youfind the x and y 3=x, y=1, and 3=x and -1= y the formul for slope is y-y/x-x so pick the 2 y's subtract oiver the 2 subtracted xs just be sure to subtract in same order.
-1-1/3-3 = -2/0 then divide -2 divided by 0 eguals 0 the anser is zero, or undefined! hope this helps!
2006-11-23 14:10:23 · answer #3 · answered by minney mouse! 3 · 2⤊ 0⤋
The line is vertical passing through x = 3. The slope is therefore 90 degrees
2006-11-23 10:52:05 · answer #4 · answered by Jeff J 4 · 2⤊ 2⤋
Since the x values are the same, the calculation will suggest that the slope is undefined.
However, since the line is parallel with the y-axis, the slope may be considered to be infinity.
2006-11-23 11:54:31 · answer #5 · answered by Brenmore 5 · 3⤊ 0⤋
The formula for a slope is y2-y1/x2-x1.
here y2=(-1)
y1=(1)
x2=(3)
x1=(3)
Subbing into the equation we get (-1)-1 / 3-3 = UNDEFINED!
You cannot devide by zero, therefore the slope at this point is undefined. When this happens, it means your line is a vertical line, which is easy to see from the coordinates, as both x2 and x1 are 3.
Therefore it is a vertical line which cuts the x-axis at (3,0).
2006-11-23 10:49:32 · answer #6 · answered by tekn33k 3 · 4⤊ 1⤋
Since the 2 x coordinates are the same this is a
vertical line, so its slope is undefined.
2006-11-23 13:15:24 · answer #7 · answered by steiner1745 7 · 2⤊ 0⤋
the slope is undifined since the line goes through x = 3. It is a vertical line.
2006-11-23 10:51:03 · answer #8 · answered by ? 3 · 4⤊ 0⤋
This is a vertical line, the slope of which is stated as "undefined".
2006-11-23 14:21:52 · answer #9 · answered by Alicia 2 · 2⤊ 0⤋
slope=y2-y1/x2-x1(let us say (3,1) as point1 & (3,-1) point2
= -1-1/3-3
= -2/0
= undifined!(no number can be divided by 0)
2006-11-23 11:55:03 · answer #10 · answered by sara 2 · 3⤊ 0⤋