SLOPE

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 to the horizontal change between two points on the line.

Front

What is the formula to calculate slope?

Back

The formula to calculate slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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 the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Front

If a line has a slope of 2/3, what does this mean?

Back

A slope of 2/3 means that for every 3 units moved horizontally to the right, the line moves up 2 units.

Front

What is the slope of the line represented by the equation y = 4?

Back

The slope of the line represented by the equation y = 4 is 0, as it is a horizontal line.

Front

What is the slope of the line represented by the equation x = -1?

Back

The slope of the line represented by the equation x = -1 is undefined, as it is a vertical line.

Front

How do you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the vertical change (rise) and the horizontal change (run), and use the formula slope = rise/run.