Lines: Parallel, Perpendicular, Intersecting

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet; they are always the same distance apart and have the same slope.

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

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

Back

If two lines have the same slope in their slope-intercept form (y = mx + b), they are parallel.

Front

What is an example of parallel lines in real life?

Back

Examples include railroad tracks, the edges of a ruler, or the lines on a football field.

Front

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

Back

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

Front

How can you identify perpendicular lines in a graph?

Back

Perpendicular lines can be identified by checking if they intersect at a right angle (90 degrees) on the graph.

Front

What is the equation of a line that is perpendicular to y = 2x + 3?

Back

A line perpendicular to y = 2x + 3 would have a slope of -1/2, such as y = -1/2x + b.

Front

What does it mean for two lines to intersect?

Back

Two lines intersect if they cross each other at one point, which means they have different slopes.