5
algebra

Convert 3x−4y=123x - 4y = 12 to slope-intercept form.

A

y=34x−3y = \frac{3}{4}x - 3

B

y=−34x+3y = -\frac{3}{4}x + 3

C

y=34x+3y = \frac{3}{4}x + 3

D

y=3x−12y = 3x - 12

Correct Answer: A

Choice A is the correct answer. Isolate yy.

  1. Subtract 3x: −4y=−3x+12-4y = -3x + 12.
  2. Divide by -4: y=−3−4x+12−4y = \frac{-3}{-4}x + \frac{12}{-4}.
  3. Simplify: y=34x−3y = \frac{3}{4}x - 3.

💡 Strategic Tip: Pay close attention to signs when dividing by a negative number.

Choice B is incorrect because slope sign is wrong. Choice C is incorrect because intercept sign is wrong. Choice D is incorrect because it ignores the division.

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Linear Functions Set 85