Livingood Slope from Tables/Graphs/Equations

Front

What is a slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance (rise) over the change in horizontal distance (run).

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 does a zero slope indicate?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes, resulting in a horizontal line.

Front

What does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

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

Back

The slope is -2.

Front

If a line has a slope of 4/3, what does this mean?

Back

For every 3 units moved horizontally to the right, the line rises 4 units vertically.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.