SOLUTION: This says find the slope if it exists x=-6 m=? it has to be an integer or simplified fraction or undefined Can someone help me with this?

Algebra ->  Linear-equations -> SOLUTION: This says find the slope if it exists x=-6 m=? it has to be an integer or simplified fraction or undefined Can someone help me with this?      Log On


   

Question 249992: This says find the slope if it exists
x=-6
m=? it has to be an integer or simplified fraction
or undefined
Can someone help me with this?
Found 3 solutions by College Student, richwmiller, tutorcecilia:
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
An equation that says x=-6 is a vertical line that crosses the x-axis at point -6.

All y values are included, but only -6 is included from the x-axis.

Vertical lines do not have a slope. They are also said to be undefined.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
if x=-6
slope is y1-y2 over x1-x2
but if the difference in x is also zero then the slope is undefined and the line is vertical.
if you look at a graph of the line where x is always -6 then you see that y can be anything but x is always -6-- a vertical line

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
x=-6
The slope is "undefined" because m=(y1-y2)/(x1-x2). Since "x" is the same number, the difference will always be "zero" in the denominator which is impossible or "undefined".