Mini Flashcard #1 - Slope and Slope Formula

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are two points on a line.

Front

How do you find the slope between two points (1,4) and (5,9)?

Back

Using the slope formula: m = (9 - 4) / (5 - 1) = 5/4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down, and cannot be expressed as a ratio.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning it does not rise or fall as it moves from left to right.

Front

If the slope of a line is -1, what does that mean?

Back

A slope of -1 means that for every unit increase in x, y decreases by 1 unit, resulting in a diagonal line that falls from left to right.

Front

How do you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1, indicating a rapid rise or fall.

Front

What is the slope of a line that passes through the points (2,3) and (2,7)?

Back

The slope is undefined because the line is vertical.

Front

What is the slope of a line that passes through the points (3,5) and (7,5)?

Back

The slope is 0 because the line is horizontal.