Parallel, Perpendicular or Neither

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.

Front

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

Back

If the slopes of the two lines are equal, then the lines are parallel.

Front

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

Back

The slope is represented by 'm' in the equation.

Front

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

Back

The slope of the perpendicular line would be -1/2.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

The slopes of two lines that are neither parallel nor perpendicular do not have a specific relationship.

Front

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

Back

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

Front

What is the slope of the line represented by the equation 3x + 4y = 12?

Back

To find the slope, rearrange to slope-intercept form: y = -3/4x + 3, so the slope is -3/4.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

Can two vertical lines be parallel?

Back

Yes, two vertical lines are parallel because they have undefined slopes and do not intersect.