Cassie M.

asked • 10/25/14

Which is an equivalent equation solved for the slope, m?

 The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis. 
 
 

1 Expert Answer

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Russ P. answered • 10/25/14

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Russ P.

Or maybe they are fishing for the slope equation of the line that passes through two points (x1,y1) & (x2,y2). In that case:
 
(y2 - y1) = m (x2 - x1),   so     m = (y2 - y1)/(x2 - x1) as long as x2 & X1 are not identical. 
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10/25/14

Damazo T.

Hey, Russ... is this a new formula?? Or I am slow??? Please explain!!! Slowly!!!
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10/26/14

Damazo T.

Huhababa??
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10/26/14

Russ P.

You may have already gotten it.  Just plot the two points (x1,y1) and (x2,y2) on a coordinate system and connect them with a line segment. It becomes the hypotenuse of a right triangle whose vertical side is (goes thru (x2,y1) and (x2,y2), and whose horizontal side connects (x1,y1) and (x2,y1).  The slope m is just the vertical side length (y2-y1) divided by the horizontal side length (x2-x1).
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10/26/14

Russ P.

I forgot to mention that m is also the tan(Θ) = m = (y2-y1)/(x2-x1) of the acute angle of the right triangle opposite the vertical side.
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10/26/14

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