10
algebra

What is the equation of the line passing through (2,5)(2, 5) with a slope of 3?

A

y=3x1y = 3x - 1

B

y=3x+5y = 3x + 5

C

y=3x+11y = 3x + 11

D

y=2x+3y = 2x + 3

Correct Answer: A

Choice A is the correct answer. Use y=mx+by = mx + b to find bb.

  1. Substitute: 5=3(2)+b5 = 3(2) + b.
  2. Simplify: 5=6+b5 = 6 + b.
  3. Solve: b=1b = -1.
  4. Equation: y=3x1y = 3x - 1.

💡 Strategic Tip: Or use point-slope form: y5=3(x2)y=3x6+5y=3x1y - 5 = 3(x - 2) \rightarrow y = 3x - 6 + 5 \rightarrow y = 3x - 1.

Choice B is incorrect because it assumes the y-coordinate is the intercept. Choice C is incorrect because it adds instead of subtracts (5+65+6). Choice D is incorrect because it swaps slope and x-coordinate.