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.

Front

What are perpendicular lines?

Back

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

Front

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

Back

They are parallel lines.

Front

What is the slope of a line given by the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are opposite reciprocals.

Front

How do you find the equation of a line parallel to a given line?

Back

Use the same slope as the given line and a point through which the new line passes.

Front

What is the slope of the line y = 3x + 4?

Back

The slope is 3.

Front

Write the equation of a line that is parallel to y = 5x + 2 and passes through the point (2, 3).

Back

y = 5x - 7.

Front

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

Back

They intersect at an angle that is not 90 degrees and do not have the same slope.

Front

If the slope of one line is 2, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/2.