Slope Review

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

Front

How do you find the slope of a line given two points?

Back

To find the slope (m) of a line given two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, which would involve division by zero.

Front

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

Back

The slope is 2.

Front

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

Back

The slope is 1.

Front

What is the slope of the line that passes through (2, 3) and (2, 5)?

Back

The slope is undefined.

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal.