slope from table

Front

What is 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

How do you calculate slope from a table of values?

Back

To calculate slope from a table, use the formula: Slope (m) = (change in y) / (change in x) between two points.

Front

If the coordinates of two points are (x1, y1) and (x2, y2), what is the formula for slope?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change.

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

Given the points (1, 2) and (3, 6), what is the slope?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a table shows the points (2, 3) and (5, 7), what is the slope?

Back

The slope is m = (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope is 2, which is the coefficient of x.