8
algebra

Find the distance between the x-intercept and y-intercept of 3x+4y=123x + 4y = 12.

A

55

B

77

C

1212

D

2525

Correct Answer: A

Choice A is the correct answer. Hypotenuse length.

  1. Intercepts: (4,0)(4, 0) and (0,3)(0, 3).
  2. Distance: (40)2+(03)2=16+9=25=5\sqrt{(4-0)^2 + (0-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5.

💡 Strategic Tip: It's a 3-4-5 right triangle.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.