Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the rise (vertical change) to the run (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

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value 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-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change as the x-value changes.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

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

Front

Find the slope of the line that passes through the points (1, 2) and (1, 5).

Back

Slope is undefined because the x-values are the same (1).

Front

If a line has a slope of 1, what does this indicate about the rise and run?

Back

A slope of 1 indicates that the rise and run are equal; for every unit increase in x, y increases by the same amount.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.