Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that have the same slope and never intersect.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope is represented by 'm'.

Front

What is the slope of a line perpendicular to a line with a slope of 3?

Back

The slope would be -1/3.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Use the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a line?

Back

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

Front

What does it mean for slopes to be negative reciprocals?

Back

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

Front

What is the equation of a line that is parallel to y = 2x + 3?

Back

Any line of the form y = 2x + b, where b is any real number.

Front

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

Back

Check if the product of their slopes equals -1.