Finding Slope From 2 Points

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Given the points (1, 2) and (3, 4), what is the slope?

Back

The slope is 1.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, 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 x increases, y 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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Given the points (-2, -3) and (2, 3), what is the slope?

Back

The slope is 3/2.

Front

If the slope of a line is -2, what does this tell you about the line's direction?

Back

The line falls from left to right.

Front

How do you interpret a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

Given the points (-5, 3) and (3, 5), what is the slope?

Back

The slope is 1/4.