Finding Slope

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 rise (change in y) to the run (change in x).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 there is no change in x (x2 - x1 = 0), leading to division by zero.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no change in y (y2 - y1 = 0), indicating that y remains constant as x changes.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = -3x + 2, what is the slope?

Back

The slope is -3.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of 5, what does this mean in terms of rise and run?

Back

For every 5 units the line rises, it runs 1 unit to the right.