4.05: Parallel and Perpendicular Lines

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10? Enter your answer in the box

y=−2/5x−2

What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y=x3−1 ? Enter your answer in the box.

y

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x2+3 ? Enter your answer in the box.

y=−2x+10

Line a is represented by the equation y=3x−4 . How do these equations compare to line a? Drag and drop the equations into the boxes to complete the table.

Parallel to line a: y=3x-2 Perpendicular to line a: y=-1/3x-10 Neither parallel nor perpendicular to line a: y=1/3x+1

In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? −ab·−dc=−1 −ab=−cd −ab=−dc −ab·−cd=−1

−a/b=−d/c

What is the slope of a line that is perpendicular to a line whose equation is 5y=10+2x ? Enter your answer in the box.

-5/2

What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ? Enter your answer in the box.

3/4

Line a is represented by the equation y=−2x+3 . How do these equations compare to line a? Drag and drop the equations into the boxes to complete the table.

Parallel to line a: y=-2x+5 Perpendicular to line a: y=1/2x+7 Neither parallel nor perpendicular to line a: y=2X+1

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ? Enter your answer in the box.

y=-4x+15

What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ? Enter your answer in the box

y=2/3x-9

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? Enter your answer in the box

y=−3/4x+4

What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7 ? Enter your answer in the box.

2/3

Line a is represented by the equation y=14x+8 . How do these equations compare to line a? Drag and drop the equations into the boxes to complete the table.

Parallel to line a: y=1/4x+1 Perpendicular to line a: y=-4x-3 Neither parallel nor perpendicular to line a: y=4x-8

In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? ba·cd=−1 ba=dc ba·dc=−1 ba=cd

b/a=c/d

In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel? PICTURE INCLUDED c−ab·de=−1 c−ab=−de c−ab=de c−ab·−de=−1

c−ab=de