Slope from Two Points

Front

What is the formula to calculate 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

What does a positive slope indicate about a line?

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?

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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Back

The slope is 1.

Front

If the slope of a line is -3, what does this tell you about the line's direction?

Back

The line falls from left to right, indicating a negative relationship between x and y.

Front

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

Back

The slope is 1.