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Question 272649: Please help me...I have to find the slope of the pair (-9,-9) and (7,-9)...I came up with 0/16...what is the slope? Please show me how?...Thank you I look forward to hearing from you.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your point pairs are:
(x1,y1) = (-9,-9)
(x2,y2) = (7,-9)
the slope is the change in the value of y divided by the change in the value of x.
the change in the value of y is y2 - y1 = (-9) - (-9) = (-9) + 9 = 0.
the change in the value of x is x2 - x1 = (7) - (-9) = (7) + (9) = 16
your slope is 0/16 = 0
I believe you have the right answer.
the slope intercept form of the equation of a straight line is:
y = mx + b
where m is the slope and b is the y intercept.
since the slope is 0, we can use either one of the 2 points to find the equation.
let's use the point (x1,y1) = (-9,-9)
since the slope is equal to 0, your equation becomes:
y = 0x + b
we let y = -9 and x = -9 to get:
-9 = 0*(-9) + b
this becomes:
-9 = b
since b is the y intercept, your equation becomes:
y = 0x - 9 which is the same as:
y = -9
graph of your equation looks like this:
what you have is a horizontal line at y = -9
if this is the equation of your line, then both points must be on that line.
your first point is (x1,y1) = (-9,-9).
look on the graph and you can see that when x = -9, y = -9.
your second point is (x2,y2) = (7,-9)
look on the graph and you can see that when x = 7, y = -9
in fact, x can be any value and y will be equal to -9.
you had it right.
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