Parallel and Perpendicular Lines

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).

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, y = mx + b.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals. If one line has a slope of m, the other line's slope will be -1/m.

Front

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

Back

The equation of a line in 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 4, what is the slope of a line parallel to it?

Back

A line parallel to it will also have a slope of 4.

Front

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

Back

A line perpendicular to it will have a slope of -1/4.

Front

Write the equation of a line parallel to y = 2x + 3 that passes through the point (1, 5).

Back

The equation is y = 2x + 3.

Front

Write the equation of a line perpendicular to y = -3x + 1 that passes through the point (2, 2).

Back

The equation is y = (1/3)x + 5/3.