Parallel and Perpendicular Lines

Front

What is the slope of a line that is perpendicular to a line with slope m = 5/8?

Back

-8/5

Front

Write the equation of a line parallel to y = -1/2x + 3 that goes through the point (4, -1).

Back

y + 1 = -1/2(x - 4)

Front

Write the equation of a line perpendicular to y = 3x - 8 that passes through the point (-3, -9).

Back

y + 9 = -1/3(x + 3)

Front

What is the slope of a line that is perpendicular to a line with slope m = -3?

Back

1/3

Front

Are the two linear equations y = 3x + 2 and y = -1/3x - 1 parallel, perpendicular, or neither?

Back

Perpendicular

Front

Define parallel lines in the context of slope.

Back

Parallel lines have the same slope and will never intersect.

Front

Define perpendicular lines in the context of slope.

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

What is the negative reciprocal of 2?

Back

-1/2

Front

If a line has a slope of 4, what is the slope of a line that is perpendicular to it?

Back

-1/4

Front

Write the equation of a line parallel to y = 2x + 5 that passes through the point (1, 3).

Back

y - 3 = 2(x - 1)