10
algebra

Which equation represents a line with slope 3 passing through (1, 5)?

A

y = 3x - 2

B

y = x + 4

C

y = 3x + 2

D

y = 3x + 5

Correct Answer: C

Choice Dhoice C is the correct answer.

  1. Form: y=mx+b→y=3x+by = mx + b \rightarrow y = 3x + b
  2. Plug in (1, 5): 5=3(1)+b5 = 3(1) + b
  3. Solve for b: 5=3+b→b=25 = 3 + b \rightarrow b = 2
  4. Equation: y=3x+2y = 3x + 2

Choice Dhoice C is incorrect because intercept is wrong.

Choice Dhoice D is incorrect because intercept is wrong.

Choice Dhoice A is incorrect because slope is wrong.

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Linear Functions Set 38