Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are opposite reciprocals.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if they intersect at an angle that is not 90 degrees and do not have the same slope.

Front

If two lines have the same slope, what can we conclude about them?

Back

If two lines have the same slope, they are parallel.

Front

What is the slope of a line parallel to y = 3x + 2?

Back

The slope of a line parallel to y = 3x + 2 is 3.

Front

What is the slope of a line perpendicular to y = 4x - 1?

Back

The slope of a line perpendicular to y = 4x - 1 is -1/4.

Front

How do you find the slope from the equation 2y = 6x + 12?

Back

To find the slope, convert to slope-intercept form: y = 3x + 6. The slope is 3.

Front

What is the y-intercept of the line y = -2x + 4?

Back

The y-intercept is 4, which is the point (0, 4).

Front

What is the equation of a line with a slope of 1 that passes through the point (2, 3)?

Back

The equation is y - 3 = 1(x - 2), or y = x + 1.

Front

If two lines have slopes of 2 and -1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular because their slopes are opposite reciprocals.