Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals of each other.

Front

How do you find the slope of a line given its equation in slope-intercept form?

Back

The slope of a line in slope-intercept form (y = mx + b) is the coefficient 'm'.

Front

What is the slope of a line that is parallel to the line with slope m = 2?

Back

The slope of a line that is parallel to m = 2 is also 2.

Front

What is the slope of a line that is perpendicular to the line with slope m = -4?

Back

The slope of a line that is perpendicular to m = -4 is 1/4.

Front

If two lines have slopes m1 and m2, under what condition are they perpendicular?

Back

Two lines are perpendicular if m1 * m2 = -1.

Front

What is the slope of the line represented by the equation y = 5x + 3?

Back

The slope of the line is 5.

Front

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

Back

Two lines are parallel if they have the same slope.

Front

What is the negative reciprocal of 1/2?

Back

The negative reciprocal of 1/2 is -2.

Front

Given the equation y = -3x + 1, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to y = -3x + 1 is 1/3.