Finding Slope from Two Points

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about the direction of a line on a graph?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line on a graph?

Back

A negative slope indicates that 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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you interpret a slope of 0 in a real-world context?

Back

A slope of 0 indicates no change in the dependent variable as the independent variable changes.

Front

If two points have the same y-coordinate, what can you say about the slope of the line connecting them?

Back

The slope is 0, indicating a horizontal line.

Front

If two points have the same x-coordinate, what can you say about the slope of the line connecting them?

Back

The slope is undefined, indicating a vertical line.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How can you determine if a slope is steep or gentle?

Back

A larger absolute value of the slope indicates a steeper line, while a smaller absolute value indicates a gentler slope.