Parallel and Perpendicular Lines in the Coordinate Plane

Front

What are parallel lines in the coordinate plane?

Back

Parallel lines are lines in the same plane that never intersect and have the same slope.

Front

What are perpendicular lines in the coordinate plane?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that 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 their slopes are equal.

Front

How do you determine if two lines are perpendicular based on their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the slope of the line y = 2x + 3?

Back

The slope of the line is 2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

A line with an undefined slope is a vertical line.

Front

How do you write the equation of a line parallel to a given line?

Back

To write the equation of a line parallel to a given line, use the same slope as the given line and the point through which the new line passes.