Slope from a graph

Front

What is the definition of slope?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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-values change.

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

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

Back

A line that goes down from left to right has a negative slope.

Front

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

Back

A line that goes up from left to right has a positive slope.

Front

If a line has a slope of 0, what can be said about its graph?

Back

The graph of a line with a slope of 0 is horizontal.

Front

If a line has an undefined slope, what can be said about its graph?

Back

The graph of a line with an undefined slope is vertical.