Slope Review

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 of a line given 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 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 a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the 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

If a line has a slope of -5/4, what does this tell you about its steepness and direction?

Back

A slope of -5/4 indicates a steep line that falls from left to right.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

If a line rises 3 units for every 2 units it runs, what is the slope?

Back

The slope is 3/2.