Slope From A Table

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What is the formula for calculating slope?

Back

Slope (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, 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 a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in the y-value 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 division by zero in the slope formula.

Front

How do you determine the slope from a table of values?

Back

To determine the slope from a table, select two points (x1, y1) and (x2, y2) and use the slope formula: m = (y2 - y1) / (x2 - x1).

Front

What type of slope does a line that goes down from left to right have?

Back

A line that goes down from left to right has a negative slope.

Front

What type of slope does a line that goes up from left to right have?

Back

A line that goes up from left to right has a positive slope.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.