Calculating Slope of a Line

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-coordinate changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line that passes through (0, 0) and (4, 4).

Back

m = (4 - 0) / (4 - 0) = 4 / 4 = 1.

Front

What type of slope does the line y = -3x + 2 have?

Back

Negative slope.

Front

What type of slope does the line y = 5 have?

Back

Zero slope.