Slope/Unit Rate

Front

What is slope?

Back

Slope is a measure of the steepness 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?

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?

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 a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where the x-value does not change, leading to a division by zero in the slope formula.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

The slope is 5/2.

Front

If a line has a slope of -2, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value decreases by 2 units.

Front

Which line is steeper: a slope of 1/2 or a slope of 2?

Back

A slope of 2 is steeper than a slope of 1/2.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.