5.6-5.8 review (parallel, perpendicular, slope)

Front

What are parallel lines?

Back

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

Front

What are perpendicular lines?

Back

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

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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 would be -1/3.

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.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.