Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

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 is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line, and is calculated as the rise over run.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If the slopes of two lines are negative reciprocals, what can we say about them?

Back

If the slopes of two lines are negative reciprocals, they are perpendicular.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

What is the y-intercept of the line represented by the equation y = -3x + 5?

Back

The y-intercept of the line is 5.

Front

How do you write the equation of a line parallel to y = 2x + 1 that passes through the point (3, 4)?

Back

The equation is y = 2x - 2.