Question

Find the gradient of the line that passes through the points
(5, 1) and (2, -5)

Answer 1

Change y / change x = gradient
-5 - 1 = -6 2-5 = -3

-6/-3 = 2 so

gradient = 2

Answer 2

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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 :

`slope = (y(b) - y(a))/(x(b) - x(a)) \\`

Now just need to put the coordinates in the above equation ;

`slope = ( - 5 - 1)/(2 - 5) \\`

`slope = ( - 6)/( - 3) \\`

Negatives simpliflies

`slope = (6)/(3) \\`

`slope = (3 * 2)/(3) \\`

`slope = (2)/(1) \\`

`slope = 2`

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