Finding Slope from a Table, Graph, and Points

Front

What is slope?

Back

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

Front

What is the formula to calculate slope from two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no change in x as y changes.

Front

Find the slope of the line passing through the points (3, 4) and (7, 10).

Back

Slope = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

Find the slope of the line passing through the points (2, 5) and (2, 8).

Back

Slope is undefined because the x-values are the same.

Front

Find the slope of the line passing through the points (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

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

Back

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