Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

How do you find the slope of a line from its equation?

Back

The slope of a line in the slope-intercept form (y = mx + b) is represented by 'm'.

Front

What is the slope of the line y = 2x + 1?

Back

The slope is 2.

Front

If two lines have the same slope, what can we say about them?

Back

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

Front

What is the slope of the line y = -3x + 4?

Back

The slope is -3.

Front

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

Back

Compare their slopes: If slopes are equal, they are parallel. If the product of their slopes is -1, they are perpendicular.

Front

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

Back

The equation is y = 3/2x - 2.

Front

What is the equation of a line perpendicular to y = 4x - 2?

Back

The equation is y = -1/4x + b, where b is determined by a point on the line.

Front

What does it mean if two lines are neither parallel nor perpendicular?

Back

It means the lines intersect at an angle that is not 90 degrees and do not have the same slope.