Parallel and Perpendicular Slopes

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. 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

If two lines have slopes m1 and m2, what condition must be met for the lines to be parallel?

Back

For two lines to be parallel, their slopes must be equal: m1 = m2.

Front

If two lines have slopes m1 and m2, what condition must be met for the lines to be perpendicular?

Back

For two lines to be perpendicular, the product of their slopes must equal -1: m1 * m2 = -1.

Front

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

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

What is the slope of a line perpendicular to y = 3x - 1?

Back

The slope of a line perpendicular to y = 3x - 1 is -1/3.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line if it rises 4 units and runs 2 units?

Back

The slope is 4/2, which simplifies to 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.