SLOPE

Front

What is the definition of slope?

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 formula to calculate slope?

Back

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

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning there is no horizontal change as you move along the line.

Front

Calculate the slope between the points (2, 3) and (5, 7).

Back

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

Front

If a line has a slope of -1/2, what does this mean?

Back

A slope of -1/2 means that for every 2 units you move to the right, you move 1 unit down.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

Find the slope of the line represented by the equation y = -2x + 5.

Back

The slope is -2.

Front

What is the slope of a line that falls as you move from left to right?

Back

The slope is negative.

Front

If the slope of a line is 2, what does this indicate about the line's direction?

Back

The line rises as you move from left to right.