Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'rise over run' (change in y over change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in 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, resulting in 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 change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

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

Back

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

Front

Find the slope between the points (3, 7) and (-4, 2).

Back

Slope = (2 - 7) / (-4 - 3) = -5 / -7 = 5/7.

Front

What is the slope of the line represented by the equation y = -1/3x + 2?

Back

The slope is -1/3.

Front

If the slope of a line is -2, what does this mean?

Back

It means that for every 2 units the line goes down (rise), it goes 1 unit to the right (run).

Front

What is the simplified form of the slope -6/2?

Back

The simplified form is -3.