Slope from a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

How do you calculate the slope from 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 is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down, and cannot be expressed as a ratio of rise over run.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

If a line passes through the points (2, 3) and (4, 7), what is the slope?

Back

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

Front

If a line has a slope of -3, what does this tell you about the line?

Back

The line falls as it moves from left to right, indicating a negative relationship between x and y.

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.