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 = \frac{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 a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in the x-coordinate as the y-coordinate changes.

Front

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

Back

The slope is m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2.

Front

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

Back

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

Front

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

Back

A slope of 3 indicates that for every 1 unit increase in x, the y value increases by 3 units, making the line relatively steep.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.