Question 661988
how do i write an equation of the line in standard form that passes through (1,2) and (3,16)
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Find the slope, m
m = diffy/diffx = (16-2)/(3-1)
m = 7
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Use y = mx + b and either point to find b, the y-intercept
2 = 7*1 + b
b = -5
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--> y = 7x - 5
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Using determinants:
|x y 1|
|1 2 1| = 0
|3 16 1|
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x*(2-16) - y*(1-3) + 1*(16-6) = 0
-14x + 2y + 10 = 0
7x - y = 5