Slope - parallel and perpendicular lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise over run).

Front

What is the slope of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the slope of perpendicular lines?

Back

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

Front

If two lines are parallel and one has a slope of -1, what is the slope of the other line?

Back

-1 (The slope remains the same for parallel lines).

Front

Back

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning there is no horizontal change as you move along the line.

Front

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

Back

3 (Parallel lines have the same slope).

Front

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

Back