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What's the slope and y-intercept of the equation 3x + 4y = 8? A) m = –3∕4; b = 2 B) m = –4; b = 3 C) m = 3∕4; b = –2 D) m = –3; b = –4

Answer :

MHANIFAIN

Answer:

  • A) m = –3∕4; b = 2

Step-by-step explanation:

The slope-intercept form is

  • y = mx + b, where m- slope, b- y-intercept

Convert the given equation into slope-intercept form

  • 3x + 4y = 8
  • 4y = - 3x + 8
  • y = - 3/4x + 2

The slope is:

  • m = - 3/4

The y-intercept is:

  • b = 2

Correct choice is A

First isolate y

  • 3x+4y=8
  • 4y=-3x+8
  • y=-3/4x+8/4
  • y=-3/4x+2

Compare to slope intercept form y=mx+b

  • Slope=m=-3/4
  • y intercept=b=2

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