Parallel, Perpendicular, or Neither

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What are perpendicular lines?

Back

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

Front

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

Back

If two lines are neither parallel nor perpendicular, they intersect at an angle that is not 90 degrees.

Front

How do you determine if two lines given in slope-intercept form are parallel?

Back

Two lines are parallel if they have the same slope (m) in the equation y = mx + b.

Front

How do you determine if two lines given in slope-intercept form are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3 after rearranging to slope-intercept form (y = mx + b).

Front

Given the equations y = 4x + 1 and y = 4x - 5, are they parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope (4).

Front

Given the equations y = -1/2x + 3 and y = 2x - 1, are they parallel, perpendicular, or neither?

Back

They are perpendicular because the slopes are -1/2 and 2, which are negative reciprocals.

Front

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

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).