Slope from Graphs

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate 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 zero slope?

Back

Zero slope means that the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What is undefined slope?

Back

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

Front

If a line rises 4 units for every 1 unit it runs, what is the slope?

Back

The slope is 4.

Front

If a line falls 3 units for every 5 units it runs, what is the slope?

Back

The slope is -3/5.

Front

What type of slope does a line that goes down from left to right have?

Back

Negative slope.

Front

What type of slope does a line that goes up from left to right have?

Back

Positive slope.