Parallel and Perpendicular Lines

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = mx + b?

Back

The slope of a line that is perpendicular to another line is the negative reciprocal of the slope of the original line. If the slope of the original line is m, the slope of the perpendicular line is -1/m.

Front

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

Back

If two lines are parallel, they have the same slope.

Front

What is the slope of the line represented by the equation y = 5x + 7?

Back

The slope of the line y = 5x + 7 is 5.

Front

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

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3/2x + 2?

Back

The y-intercept of the line y = 3/2x + 2 is 2.

Front

What is the equation of a line that is parallel to y = 2x + 3 and passes through the point (1, 4)?

Back

The equation of the line is y = 2x + 2.

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.

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.

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

How can you determine if two lines represented by equations are parallel?

Back

Two lines are parallel if their slopes are equal.