Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

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

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 (y = mx + b).

Front

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

Back

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

Front

What does it mean for two slopes to be opposite reciprocals?

Back

Two slopes are opposite reciprocals if the product of the slopes is -1. For example, if one slope is 2, the other would be -1/2.

Front

What is the equation of a line parallel to y = 3x + 4 with a y-intercept of -1?

Back

y = 3x - 1.

Front

What is the equation of a line perpendicular to y = 2x + 3?

Back

y = -1/2x + b (where b is any y-intercept).

Front

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

Back

If the product of their slopes equals -1, the lines are perpendicular.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.