Slope Formula Practice

Front

What is the slope formula?

Back

The slope formula is (y2 - y1) / (x2 - x1), which calculates the steepness of a line between two points (x1, y1) and (x2, y2).

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value regardless of the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change and division by zero occurs.

Front

What is the meaning of 'rise' in the slope formula?

Back

'Rise' refers to the change in the y-values (vertical change) between two points.

Front

What is the meaning of 'run' in the slope formula?

Back

'Run' refers to the change in the x-values (horizontal change) between two points.

Front

How do you determine if a slope is positive, negative, or undefined?

Back

A slope is positive if it rises from left to right, negative if it falls from left to right, and undefined if it is a vertical line.

Front

What is the slope of the line passing through the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line passing through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same, resulting in a vertical line.