Slope from a Graph / Slope Formula

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value does not change, leading to a division by zero in the slope formula.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the slope formula m = rise/run.

Front

If a line rises from left to right, what type of slope does it have?

Back

If a line rises from left to right, it has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

If a line falls from left to right, it has a negative slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.