Question

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

Answer 1

• 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

Answer 2

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