SOLUTION: heyy. okay so i need help again. heres the question.. Write an equation of the line through (-1, -2) and (-1, 1). First, use the two points to find the slope. HELP ME!!

Algebra ->  College  -> Linear Algebra -> SOLUTION: heyy. okay so i need help again. heres the question.. Write an equation of the line through (-1, -2) and (-1, 1). First, use the two points to find the slope. HELP ME!!      Log On


   



Question 74425: heyy.
okay
so i need help again.
heres the question..
Write an equation of the line through (-1, -2) and (-1, 1).
First, use the two points to find the slope.

HELP ME!!
hahaha
please!

Answer by josmiceli(19441) About Me  (Show Source):
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 P%5B1%5D and P%5B2%5D
Then you can say P%5B1%5D = (x%5B1%5D,y%5B1%5D)
and also can say P%5B2%5D = (x%5B2%5D,y%5B2%5D)
The change in y is y%5B2%5D - y%5B1%5D
The change in x is x%5B2%5D - x%5B1%5D
Now just plug in the numbers in the problem
P%5B1%5D = (-1,-2)
P%5B2%5D = (-1,1)
Change in y = 1 - -2
change in x = -1 - -1
slope = (change in y) / (change in x)
slope = %281+-+%28-2%29%29+%2F+%28-1+-+%28-1%29%29
slope = 3+%2F+0
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 x+=+-1