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 does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning the x-coordinates of the two points are the same.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that the y-coordinates remain constant as the x-coordinates change.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 4).

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

Find the slope of the line that passes through the points (2, 3) and (2, 5).

Back

The slope is undefined, as the x-coordinates are the same (2).

Front

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

Back

The slope is 2, calculated as (8 - 0) / (4 - 0).

Front

What is the slope of the line that passes through the points (-1, -1) and (1, 1)?

Back

The slope is 1, calculated as (1 - (-1)) / (1 - (-1)).

Front

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

Back

A slope of -3 indicates that the line falls steeply from left to right.