1
algebra

Write the equation of the line passing through (1,4)(1, 4) and (3,10)(3, 10) in slope-intercept form.

A

y=3x+1y = 3x + 1

B

y=3x1y = 3x - 1

C

y=2x+2y = 2x + 2

D

y=3x+4y = 3x + 4

Correct Answer: A

Choice A is the correct answer. Find slope, then intercept.

  1. Slope: m=10431=62=3m = \frac{10 - 4}{3 - 1} = \frac{6}{2} = 3.
  2. Point-Slope: Use (1,4)(1, 4). y4=3(x1)y - 4 = 3(x - 1).
  3. Convert: y4=3x3y=3x+1y - 4 = 3x - 3 \rightarrow y = 3x + 1.

💡 Strategic Tip: Check your answer by plugging in the second point: 10=3(3)+110 = 3(3) + 1. Correct.

Choice B is incorrect because sign error. Choice C is incorrect because slope error. Choice D is incorrect because intercept error.