10.4 Parallel and Perpendicular Lines

y + 5/7 x = -5

A line parallel to y = -5/7 x + 2 is ...

y = 2/3 x + 1

A line parallel to y = 2/3 x - 7 is ...

y=2x-3

A line perpendicular to y=-½x+3 is ...

y=¼x+1

A line perpendicular y=-4x+2 is ...

Yes because the lines are perpendicular.

Do these lines intersect? 3y=-x 3x=y

No because the lines are parallel.

Do these lines intersect? y-5=6x y-6x=-1

Neither

Parallel, Perpendicular, or Neither? 3x+2y=5 3y+2x=-3

Parallel

Parallel, Perpendicular, or Neither? y=3x+2 2y=6x-6

Perpendicular

Parallel, Perpendicular, or Neither? y=6 x=-2

Same Line

What best describes the relationship between the lines with equations y+6=-x and y+x=-6?

y=-½x+2

What is the equation of the line that is parallel to y=-½x+5 and passes through the point (-2,3)?

y=2x-9

What is the equation of the line that is parallel to y=2x-2 and passes through the point (2,-5)?

y -3/2 x-4

What is the equation of the line that is perpendicular to y=2/3x-5 and passes through the point (-2,-1)?

y=-2x+3

What is the equation of the line that is perpendicular to y=½x-1 and passes through the point (4,-5)?