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Question 258516: this is really about slope i couldnt find an option for it,,,but i really dont understand the whole slope thing...i did the x1 - y1 but i still cant get the right answer...if the equation is (6,6) and (2,2)
Found 3 solutions by edjones, drk, dabanfield:
Answer by edjones(8007)   (Show Source):
Answer by drk(1908)  (Show Source):
Answer by dabanfield(803) (Show Source):
You can put this solution on YOUR website! this is really about slope i couldnt find an option for it,,,but i really dont understand the whole slope thing...i did the x1 - y1 but i still cant get the right answer...if the equation is (6,6) and (2,2)
The slope of the line between two points represents the change in the y-coordinates divided by the change in the x-coordinates. This is sometimes called the rise (of the line) over the run (of the line).
In general the slope between two points (x1,y1) and (x2,y2) is then
(y2-y1)/(x2-x1)
So for these points the slope is (6-2)/(6-2) = 4/4 = 1
One of the standard forms of a line called the slope-intercept form:
y = m*x + b
In this form of a line m represents the slope and b represents the value of y where the line crosses the y-axis (which is when x = 0).
In this particular case we already calculated the slope m to be 1 so the equation of the line is:
y = 1*x + b
We still need to find b. Since the line passes through the point (2,2) we know that when x=2, y is also equal to 2.
So substituting 2 for x and 2 for y in the equation above:
2 = 1*2 + b
2 = 2 + b
b = 0
The equation for the line in slope-intercept form is:
y = 1*x + 0 or
y = x
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