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onsider the ordered pairs (3/4, 1/2), (1 1/4,), (x, y) which represent a linear function. Find the values of x and y.
x = 1 3/4, y = 3/2
x = 2 1/4, y = 1/2
x = 1 3/4, y = -3/2
x = 2 1/4, y = -1/2
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GPT-5 mini
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Interpret the second point as (1 1/4, 1). Convert to fractions: (3/4, 1/2) and (5/4, 1).
Slope = (1 − 1/2)/(5/4 − 3/4) = (1/2)/(1/2) = 1.
Line: y − 1/2 = 1(x − 3/4) ⇒ y = x − 1/4.
For x = 1 3/4 = 7/4, y = 7/4 − 1/4 = 6/4 = 3/2.
So the correct choice is: x = 1 3/4, y = 3/2.
Slope = (1 − 1/2)/(5/4 − 3/4) = (1/2)/(1/2) = 1.
Line: y − 1/2 = 1(x − 3/4) ⇒ y = x − 1/4.
For x = 1 3/4 = 7/4, y = 7/4 − 1/4 = 6/4 = 3/2.
So the correct choice is: x = 1 3/4, y = 3/2.
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