Finding Slope from Two Points

Front

What is the formula for calculating 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 relationship between two points on a line?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about the relationship between two points on a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What does a slope of zero indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

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

Front

How do you determine if two points have the same x-coordinate?

Back

If the x-coordinates of both points are equal, the line is vertical, leading to an undefined slope.

Front

Given the points (3, 4) and (3, 10), what is the slope?

Back

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

Front

If the slope of a line is 1/4, what does this mean in terms of rise over run?

Back

For every 4 units you move to the right (run), the line rises 1 unit (rise).

Front

What is the slope of the line that passes through the points (2, 3) and (5, 7)?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

How can you tell 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.