Algebra practice question

Answer: A. (6, 14)

Slope: (10 − 4)/(4 − 1) = 2, so the line is y = 2x + b with 4 = 2(1) + b, b = 2: y = 2x + 2. At x = 6, y = 14.

Why the other answers are wrong

B. (6, 12)

(6, 12) uses 2x without the intercept; y = 2(6) + 2 = 14.

C. (0, 4)

(0, 4) takes the y-value of the first point as the intercept. The intercept is 2, so (0, 2) is on the line.

D. (5, 11)

At x = 5 the line gives y = 12, not 11.

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