Slope from a Graph

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

What does a positive slope indicate?

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?

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 indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What is undefined slope?

Back

Undefined slope occurs in vertical lines where there is no horizontal change, leading to division by zero.

Front

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

Back

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

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

What is the slope of a line that falls 5 units for every 3 units it runs?

Back

The slope is -5/3.

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal.

Front

If a line has an undefined slope, what does it look like?

Back

A line with an undefined slope is vertical.