You can
put this solution on YOUR website!Given any 2 points, you can draw a line through them, and
that line will have a certain slope.
What's the definition of slope?
It is slope = (change in y) / (change in x) or
slope = (change in vertical) / )change in horizontal) same thing
So how do you find these?
When you're given 2 points, you can call them
and
Then you can say
= (
,
)
and also can say
= (
,
)
The change in y is
-
The change in x is
-
Now just plug in the numbers in the problem
= (
,
)
= (
,
)
Change in y =
-
change in x =
-
slope = (change in y) / (change in x)
slope =
slope =
What does this tell you? First, dividing by 0 is not allowed, but
the 0 tells you that there is no change in x since you're
subtracting -1 from -1.
No change in x means the line is vertical.
If there were no change in y, the line would be horizontal
The slope of a vertical line is infinity
Pick any point on this line. x will be -1 no matter what
y is. So, the equation of the line is
