Slope Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where there is no vertical change as the x-value changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where there is no horizontal change as the y-value changes.

Front

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

Back

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

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

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

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is zero.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

The line descends from left to right, indicating a negative relationship between x and y.