Parallel and Perpendicular Warm-up

Front

What is the slope of a line parallel to the line represented by the equation y = 2x - 7?

Back

The slope is 2.

Front

What is the slope of a line perpendicular to the line represented by the equation y = -1/2x + 5/2?

Back

The slope is 2.

Front

Identify two equations that are perpendicular: y = 4/3x + 2 and y = -3/4x - 7. Are they perpendicular?

Back

Yes, they are perpendicular.

Front

Are the lines represented by the equations y = 6x + 2 and y = -6x + 2 parallel, perpendicular, or neither?

Back

Neither.

Front

Which equation represents a line that is perpendicular to the line y = -6/7x + 7?

Back

y = 7/6x - 8.

Front

Define parallel lines in terms of their slopes.

Back

Parallel lines have the same slope.

Front

Define perpendicular lines in terms of their slopes.

Back

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

Front

What is the negative reciprocal of 3?

Back

The negative reciprocal of 3 is -1/3.

Front

If a line has a slope of -1/4, what is the slope of a line that is parallel to it?

Back

The slope of the parallel line is also -1/4.

Front

If a line has a slope of 5, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/5.