#I genuinely don't get this equation. How is it an equation of a line but also equation of gradient

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finite spade
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Aalfa its not the equation of gradient

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Its just the equation of a line

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Wdyem

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Right

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And notice if you divide both sides by x-x1 you get change in y over change in x

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Its the equation of the line bc if you plug the values of y1 and x1 in it simplifies down to a y=mx + c equation

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Like lets say there was a gradient of 2 and a point ont he line is (1,2)

it would be y-2 = 2(x-1)
y-2 = 2x-2
y=2x+4

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Notice how that ends up y=mx+c

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This one is more convenient yeah