Slope Basics

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

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 in vertical lines where the change in x is zero, making the slope calculation (rise/run) impossible.

Front

What is a zero slope?

Back

A zero slope occurs in horizontal lines where the change in y is zero, indicating that the line does not rise or fall.

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 from the bottom left to the top right have?

Back

A line that goes from the bottom left to the top right has a positive slope.

Front

What type of slope does a line that goes from the top left to the bottom right have?

Back

A line that goes from the top left to the bottom right has a negative slope.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.