8.3.a: Identifying Slope

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line.

Front

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

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 about a line?

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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value decreases by 5 units.

Front

Determine the slope of the line represented by the equation y = -3/2x + 4.

Back

The slope (m) is -3/2.

Front

What is the slope of the line passing through the points (2, 3) and (4, 1)?

Back

Slope (m) = (1 - 3) / (4 - 2) = -2/2 = -1.

Front

How do you interpret a slope of 1/6?

Back

A slope of 1/6 means that for every 6 units you move horizontally to the right, you move up 1 unit.