Slope & Slope Formula

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line, where there is no change in the y-coordinate as the x-coordinate changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where there is no change in the x-coordinate as the y-coordinate changes.

Front

How do you find the slope between two points (3, 4) and (7, 8)?

Back

Using the slope formula: m = (8 - 4) / (7 - 3) = 4 / 4 = 1.

Front

If a line has a slope of -5/4, what type of slope is it?

Back

It is a negative slope.

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.