Parallel and Perpendicular lines

Front

What is the slope-intercept form of a line?

Back

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

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 a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it will also be 3.

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it will be -1/3.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation is y = -2x + 5.

Front

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

Back

Check if the slopes (the coefficients of x) are equal.

Front

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

Back

Check if the product of their slopes equals -1.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

The y-intercept is 6.