Counting Slope and Slope Formula

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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 indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as the x-coordinate changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinate remains constant while the y-coordinate changes.

Front

How do you find the slope between two points (2, 4) and (6, 12)?

Back

Using the slope formula: m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope of a line that runs parallel to the x-axis is 0.

Front

What is the slope of a line that runs parallel to the y-axis?

Back

The slope of a line that runs parallel to the y-axis is undefined.

Front

If a line has a slope of -5/4, what does this indicate about its direction?

Back

A slope of -5/4 indicates that the line falls from left to right, with a steepness of 5 units down for every 4 units it moves to the right.