Parallel & Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are opposite reciprocals.

Front

What is the slope of parallel lines?

Back

The slope of parallel lines is the same.

Front

What is the slope of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if their slopes are equal.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the equation of a line in slope-intercept form?

Back

The equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

y = -rac{1}{3}x + rac{7}{3}.

Front

Identify the slopes of the lines: y = 2x + 3 and y = 2x - 5.

Back

Both lines have a slope of 2, so they are parallel.