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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line 4x + 3y = 12? Drag and drop each choice into the boxes to correctly complete the table. Parallel Perpendicular Neither

Is each line parallel perpendicular or neither parallel nor perpendicular to the line 4x 3y 12 Drag and drop each choice into the boxes to correctly complete th class=

Respuesta :

mhanifa

Step-by-step explanation:

The line given:

  • 4x + 3y = 12, its slope is m = - 4/3

Other lines to compare:

  • -3x + 4y = 8, the slope is m = 3/4, it is perpendicular line as the product of the slopes is  - 1;
  • 4x + 3y = 31, the slope is m = -4/3, same slope but different y- intercept, it is parallel line;
  • 3x + 4y = 12, the slope is m = -3/4, it is neither parallel nor perpendicular;
  • -4x + 3y = - 1, the slope is m = 4/3, it is neither parallel nor perpendicular
  • 4x+3y=12
  • 3y=-4x+12
  • y=-4/3x+12

Slope=m=+4/3

#1

  • -3x+4y=8

m=3/4

  • Perpendicular

#2

  • 4x-3y=31

m=-4/3

  • Parallel

#3

  • 3x+4y=12

m=-3/4

  • neither

#4

  • -4x+3y=-1

m=4/3

  • Neither

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