Parallel and Perpendicular lines

Front

What is the definition of parallel lines?

Back

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

Front

What is the definition of perpendicular lines?

Back

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

Front

How do you determine if two lines are parallel based on their equations?

Back

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

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

If a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it would also be 3.

Front

If a line has a slope of -4, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be 1/4 (the negative reciprocal of -4).

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

Front

How do you write the equation of a line parallel to a given line that passes through a specific point?

Back

Use the slope of the given line and the point to write the equation in point-slope form, then convert to slope-intercept form if needed.

Front

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

Back

The slope of the line is -2.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The product of their slopes is -1.