Counting Slope and Slope Formula

Front

What is the definition of 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 and (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope is represented by a line that goes upwards from left to right?

Back

Positive slope.

Front

What type of slope is represented by a line that goes downwards from left to right?

Back

Negative slope.

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Front

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

Back

Slope = (7 - 3) / (5 - 2) = 4/3.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the slope of the line that passes through the points (7, 10) and (10, 9)?

Back

Slope = (9 - 10) / (10 - 7) = -1/3.

Front

Find the slope of the line that passes through the points (3, 4) and (6, 10).

Back

Slope = (10 - 4) / (6 - 3) = 6/3 = 2.