Slope Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is positive?

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 does it mean if the slope of a line is negative?

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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not change in the x-direction.

Front

How do you determine the slope of a horizontal line?

Back

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

Front

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

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of a line that passes through the points (4, 5) and (4, 10)?

Back

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

Front

Given the points (2, 3) and (8, 9), calculate the slope of the line.

Back

The slope is 1, calculated as (9 - 3) / (8 - 2).

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

The slope is 1, indicating a 45-degree angle line through the origin.

Front

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

Back

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