8
algebra

Find the equation of the line parallel to y=5xy = 5x passing through (1,6)(1, 6).

A

y=5x+1y = 5x + 1

B

y=5x+6y = 5x + 6

C

y=5x1y = 5x - 1

D

y=15x+6y = \frac{1}{5}x + 6

Correct Answer: A

Choice A is the correct answer. Use point-slope.

  1. Slope: 5.
  2. Point: (1,6)(1, 6).
  3. Equation: y6=5(x1)y=5x5+6y=5x+1y - 6 = 5(x - 1) \rightarrow y = 5x - 5 + 6 \rightarrow y = 5x + 1.

💡 Strategic Tip: Check the point: 6=5(1)+16 = 5(1) + 1. Correct.

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