Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line given by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What is the slope of a line perpendicular to a line with a slope of 2?

Back

The slope of a line perpendicular to a line with a slope of 2 is -1/2.

Front

What does it mean for slopes to be opposite reciprocals?

Back

Slopes are opposite reciprocals if one slope is the negative reciprocal of the other, meaning if one slope is m, the other is -1/m.

Front

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

Back

The slope of a line parallel to it is also -4.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation of the line is y = x - 3.