Slope & Slope Formula

Front

What is the formula for calculating the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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 an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run.

Front

How do you determine if a slope is zero?

Back

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

Front

Given the points (2, 3) and (5, 7), what is the slope?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is -5/4, what does this tell you about the line's 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 across.

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 formula m = rise/run.