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). The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you determine if two lines are parallel from their equations?

Back

Two lines are parallel if they have the same slope. For example, in the equations y = mx + b, if both lines have the same 'm', they are parallel.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Write the equation of a line that is parallel to y = 2x + 3 and passes through the point (1, 5).

Back

y = 2x + 3.

Front

Write the equation of a line that is perpendicular to y = 3x - 1 and passes through the point (2, 4).

Back

y = -1/3x + 14/3.

Front

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

Back

If the slope of one line is m, the slope of the perpendicular line is -1/m.

Front

Identify the slope of the line represented by the equation 4x + 2y = 8.

Back

The slope is -2.

Front

What is the equation of a horizontal line that passes through the point (4, 2)?

Back

y = 2.