Equations of Parallel and Perpendicular Lines

Front

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

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

Write the equation of a line that passes through the point (1, 2) and has a slope of 4.

Back

y = 4x - 2.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

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 line?

Back

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

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.

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.