Writing Parallel and Perpendicular Equations of Lines.

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the definition of perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are opposite reciprocals of each other.

Front

If the slope of a line is m, what is the opposite reciprocal of m?

Back

The opposite reciprocal of m is -1/m.

Front

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

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal.

Front

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

Back

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

Front

What is the slope of a line that is perpendicular to y = -2x + 4?

Back

The slope of the perpendicular line is 1/2.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.