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Suppose :
a = ( 5 , 1 ) and b = ( 2 , - 5 )
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We have following equation to find the slope of the line using two points :
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Now just need to put the coordinates in the above equation ;
[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 3} \\ [/tex]
Negatives simpliflies
[tex]slope = \frac{6}{3} \\ [/tex]
[tex]slope = \frac{3 \times 2}{3} \\ [/tex]
[tex]slope = \frac{2}{1} \\ [/tex]
[tex]slope = 2[/tex]
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