SOLUTION: How do you write an inequality of line AB that has point (4,8) and (-10,1) in standard form with integers?

Question 398744: How do you write an inequality of line AB that has point (4,8) and (-10,1) in standard form with integers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do you write an inequality of line AB that has point (4,8) and (-10,1) in standard form with integers?
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1st: Write an equality; it is the boundary between inequalities.
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slope = (8-1)/(4--10) = 7/14 = 1/2
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Form: y = mx+b
8 = (1/2)(4) + b
8 = 2 + b
b = 6
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Equation: y = (1/2)x+6
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Standard Form:
2y = x + 12
x - 2y = -12
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Corresponding inequalities:
x-2y<-12
OR
x-2y>-12
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Cheers,
Stan H.
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