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 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

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

Back

y = 2x + 1.

Front

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

Back

y = -1/2x + 3/2.

Front

What is the slope of the line y = -6x + 2?

Back

The slope is -6.

Front

Which lines are parallel: y = 3x + 1 and y = 3x - 4?

Back

Yes, they are parallel because they have the same slope (3).

Front

Which lines are perpendicular: y = 4x + 2 and y = -1/4x + 3?

Back

Yes, they are perpendicular because their slopes (4 and -1/4) are negative reciprocals.

Front

What is the slope of a line that is perpendicular to a line with a slope of 5?

Back

The slope of the perpendicular line is -1/5.

Front

Write an equation of a line parallel to y = -7x + 2 that passes through (0, 1).

Back

y = -7x + 1.