What is the slope of the line x=2?

Question

And What is the slope of the line y= -3?

Answer 1

Slope is defined as the change in y values divided by the change in x values between two points on the line, i.e., the "rise" divided by the "run." So, let's pick two points on the line x = 2. Here are two, yours may be different: (2,0) and (2,17).

17 - 0
-------- = slope
2 - 2

which becomes 17/0 but division by 0 is undefined, so the slope is undefined.

For y = -3 we can choose these two points (0, -3) and (1, -3)

-3 - (-3)
----------- = slope
1 - 0

but that's just

-3 + 3
---------
1

or 0/1 so the slope is 0.

HTH

Charles

Answer 2

The slope of a line being defined as (the vertical distance between any 2 chosen factors on the line)/(the horizontal distance between those similar 2 factors), the position the decision of issues is irrelevant as you get a similar effect no count number which 2 factors you opt for. evaluate all those factors the position the x-coordinate is -2 and also you'll keep in mind that it truly is a vertical line 2 instruments to the left of the y-axis. For any 2 factors you %., the vertical distance can decision from close to 0 to indefinitely tremendous, besides the undeniable fact that the horizontal distance is 0, so by the slope formula, you would possibly want to have, (some decision)/0, and for the reason that branch by 0 is undefined, because it yields no defined decision, then the astounding answer is D. undefined

Answer 3

A vertical line, such as x = 2, has undefined slope, a horizontal line, such as y = -3, has zero slope.
The reason for this is the way we define slope, as
change in y / change in x
For a vertical line, there is no change in x, so we have a zero denominator, which is undefined. (Before you ask, search yahoo answers on why we can't divide by 0, that question comes up every week or so)
For a horizontal line, there is no change in y, so we have a zero numerator, which is zero.
For more info and better graphics see
http://www.purplemath.com/modules/slope.htm

Answer 4

alright... the slope of the line x= 2 is undefined because when u do the vertical line test, the line will hit well over ONE point on the line.

the slope of y=-3 is zero.. because it is a horizontal line.

Answer 5

slope is 0

Answer 6

x = 2
slope is nullset (0 with / through it)
(or undefined i guess)

y= -3
slope is 0

we just learned this in math classs...like last week!

Answer 7

x=2
slope is undefined

y= -3
slope is 0

Answer 8

That guy up at the top has the best answer, I voted for him cause he's right.