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).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have identical slopes.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What are opposite reciprocals?

Back

Opposite reciprocals are two numbers whose product is -1. For example, if one slope is m, the opposite reciprocal is -1/m.

Front

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

Back

The slope of a line perpendicular to a line with slope 5 is -1/5.

Front

If a line has a slope of -3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with slope -3 is also -3.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept of the line y = 2x + 3 is 3.