Slope Basics Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as a fraction (rise/run).

Front

How is slope calculated?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are 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.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where there is no change in x as y changes.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

The slope is -3.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.