Test Slope of a Graph and Two Points

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if the slope of a line is positive?

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 it mean if the slope of a line is negative?

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 it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates are the same and there is no change in the x-coordinate.

Front

Calculate the slope of the line passing through the points (2, 3) and (4, 7).

Back

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

Front

Calculate the slope of the line passing through the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same (1).

Front

What is the slope of the line that passes through the points (3, 4) and (6, 10)?

Back

The slope is m = (10 - 4) / (6 - 3) = 6 / 3 = 2.

Front

What is the slope of the line that passes through the points (5, -1) and (5, 3)?

Back

The slope is undefined because the x-coordinates are the same (5).

Front

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

Back

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