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). Their slopes are opposite reciprocals.

Front

How do you find the slope of a line from its equation?

Back

The slope of a line in the form y = mx + b is 'm', where 'm' is the coefficient of x.

Front

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

Back

The slope is 2.

Front

If two lines have slopes of 3 and -1/3, are they parallel, perpendicular, or neither?

Back

They are perpendicular because their slopes are opposite reciprocals.

Front

Write an equation of a line passing through (1, 2) and parallel to y = 2x + 3.

Back

y = 2x + 1.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

Are the lines represented by y = 3x + 1 and y = 3x - 4 parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.