Find slope of line ----> x = 5?

Question

Find the slope of each line. Then graph.

x = 5

How do you find the slope?!
Thanks in advance!

Answer 1

It's a vertical line and by definition has no slope.

Slope is 0 is incorrect. Having no slope and having 0 slope are not the same thing.

Answer 2

The line you are dealing with is a vertical line that runs through (5,Y) where Y can be any value you want, this line has the largest possible slope, infinity.
Another way to look at it, the slope of a line is the tangent of the angle between it and the x axis. Since this line is at 90 degrees to the x axis, then the slope is tan 90 which will result in an error by most calculators because it is the result of 1/0 which is undefined.

Answer 3

The slope of a vertical line is undefined.

If you want to, you can prove it, by writing an equation in slope-intercept form.

m = (y2 - y1)/(x2 - x1)
Choose any two points on the line. I'll choose (5, 3) and (5,4).
m = (4 - 3)/(5 - 5)
m = 1 / 0
Since division by zero is impossible, the slope is said to be undefined.

Answer 4

Swop it around into y intercept form y =mx+c y - 5 = - 6 (x + 4) multiply out the brackets y - 5 = - 6x -24 add 5 to both sides y = - 6x -19 The coefficient of x is the slope so it's -6

Answer 5

the slope is 0

Answer 6

You can not accurately and mathematically show the slope because of how slope is defined.

Slope = (y'-y")/(x'-x")

If x is a constant, the numerator is zero and there is no defined answer. Division by zero is not an allowable operation.

Answer 7

The slope of this line is undefined, because
the line is a vertical line. To graph, just
draw a vertical line through (5,0), say.

Answer 8

m=undefined
vertical lines are undefined.