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-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 on a graph?

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 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: (1, 2) and (3, 6).

Back

Front

Find the slope of the line that goes through the points: (0, 0) and (4, 8).

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: (2, 3) and (2, 5).

Back

The slope is undefined because the x-values are the same (2), indicating a vertical line.

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.