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.