Equations of Parallel and Perpendicular Lines

Front

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

Back

The slope (m) represents the steepness of the line, indicating how much y changes for a unit change in x.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals of each other.

Front

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

Back

Front

Write the equation of a line parallel to y = 4x + 3 that passes through the point (1, 2).

Back

The equation is y = 4x - 2.

Front

What is the slope of the line y = -3x + 5?

Back

The slope is -3.

Front

If two lines are perpendicular, and one line has a slope of 1, what is the slope of the other line?

Back

The slope of the other line is -1.

Front

Write the equation of a line that passes through the point (0, 0) and has a slope of 5.

Back

The equation is y = 5x.

Front

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

Back

The slopes of two parallel lines are equal.

Front

If a line has a slope of -2, what is the slope of a line that is parallel to it?

Back

The slope of the parallel line is also -2.