Slope from Two Points

Front

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

Back

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (numerator) as x changes.

Front

Find the slope of the line that goes through the points (2, 3) and (5, 11).

Back

Front

Find the slope of the line that goes through the points (-1, -1) and (2, 2).

Back

Front

Find the slope of the line that goes through the points (0, 0) and (4, 4).

Back

Front

Find the slope of the line that goes through the points (3, 7) and (3, 10).

Back

The slope is undefined because the x-coordinates are the same (3).

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed in a distance-time graph or cost per item in a cost-revenue graph.