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 (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

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-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

Front

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

Back

A slope of 3/2 means that for every 2 units you move horizontally to the right, the line rises 3 units vertically.

Front

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

Back

The slope of the line is 5, which means it rises 5 units for every 1 unit it moves to the right.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the formula: slope = rise/run.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 8)?

Back

The slope is calculated as (8 - 2) / (3 - 1) = 6 / 2 = 3.