Writing Equations for Parallel & Perpendicular Lines

Front

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

Back

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

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3/4?

Back

The slope of a line that is perpendicular to a line with a slope of 3/4 is -4/3.

Front

If two lines have slopes of -3 and -3, what is their relationship?

Back

The two lines are parallel.

Front

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

Back

The slope of a line that is parallel to a line with a slope of -3 is also -3.

Front

Given the equation y = 2x + 5, what is the slope?

Back

The slope of the line given by the equation y = 2x + 5 is 2.

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

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and not negative reciprocals of each other.

Front

If a line has a slope of 1/2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 1/2 is -2.