Slope Practice

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you 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 the x-value increases, the y-value 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 the x-value increases, the y-value 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 has no horizontal change (run = 0), making the slope calculation impossible.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as the x-value changes.

Front

If a line has a slope of -3, what does this mean in terms of rise and run?

Back

A slope of -3 means that for every 1 unit you move to the right (run), the line falls 3 units (rise).

Front

What is the slope of the line represented by the equation y = -5/4x + 2?

Back

The slope of the line is -5/4.

Front

If the slope of a line is 2, what is the rate of change?

Back

The rate of change is 2, meaning for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.