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slope intercept form of a line is : y = mx + c

here, m is slope and c is intercept

Now, (2,9) and (4,-1) will give us slope

m = (9-(-1)) / (2-4)

m = 10/-2

m = -5

so, y = -5x + c

put (2,9) in the equation

9 = -10+c

c = 19

so, final equation in slope intercept form is

y = -5x + 19

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