Slope

Front

What is the slope formula?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where y remains constant as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x remains constant as y changes.

Front

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

Back

Use the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through (2,3) and (5,11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

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

Back

The slope is 2.

Front

What is the slope of a line perpendicular to the line y = -1/2x + 4?

Back

The slope is 2 (the negative reciprocal of -1/2).

Front

If a line has a slope of 3, what is the angle of inclination?

Back

The angle of inclination is approximately 71.57 degrees.