Slope

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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 the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed or cost per item.

Front

Given the points (3, 4) and (5, 8), what is the slope?

Back

Slope = (8 - 4) / (5 - 3) = 4/2 = 2.

Front

What are the four types of slope?

Back

1. Positive slope 2. Negative slope 3. Zero slope 4. Undefined slope.

Front

If the slope of a line is -1/3, what does this mean in terms of rate of change?

Back

For every 3 units increase in x, y decreases by 1 unit.

Front

How do you find the slope from a graph?

Back

Choose two points on the line, find the rise (change in y) and run (change in x), then use the formula m = rise/run.