Finding Slope

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

What is the formula to calculate slope?

Back

Slope (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, showing 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, showing 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 when a line is vertical, indicating that the x-value does not change as the y-value changes.

Front

How do you find the slope between two points (2, -3) and (5, 6)?

Back

Slope = (6 - (-3)) / (5 - 2) = 9 / 3 = 3.

Front

How do you find the slope between two points (5, -10) and (5, -4)?

Back

Slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

Which line has a steeper slope: a slope of 2 or a slope of -3?

Back

A slope of -3 is steeper than a slope of 2 because the absolute value of -3 is greater than that of 2.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope of a line parallel to the x-axis is 0.