Slope from a Table

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope from a table of values?

Back

To calculate the slope from a table, select two points (x1, y1) and (x2, y2) from the table, and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning the x-value does not change while the y-value changes.

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 is the slope of a line that goes 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 a line that goes through the points (1, 2) and (1, 5)?

Back

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

Front

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

Back

A slope of -3 indicates that for every 1 unit increase in x, the y-value decreases by 3 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.