3
algebra

A line passes through (2, 3) and (4, 7). What is the equation?

A

y = 0.5x + 2

B

y = 2x - 1

C

y = 2x - 5

D

y = 2x + 1

Correct Answer: B

Choice Choice B is the correct answer.

  1. Slope: m=7−34−2=42=2m = \frac{7-3}{4-2} = \frac{4}{2} = 2
  2. Point-Slope: y−3=2(x−2)y - 3 = 2(x - 2)
  3. Simplify: y−3=2x−4→y=2x−1y - 3 = 2x - 4 \rightarrow y = 2x - 1

Choice Choice D is incorrect because intercept error.

Choice Choice A is incorrect because slope error.

Choice Choice A is incorrect because intercept error.

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Linear Functions Set 39