Slope & Slope Formula Homework

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope formula.

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-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with vertical lines, where x does not change, leading to division by zero in the slope formula.

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Calculate the slope between the points (0, 0) and (4, 8).

Back

m = (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

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

Back

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

Front

Find the slope of the line that passes through the points (1, 1) and (1, 4).

Back

The slope is undefined because the x-values are the same.