Slope: Positive, Negative, Zero

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as a ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

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 on a graph.

Tags

CCSS.8.EE.B.5

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 on a graph.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, meaning there is no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is 3, which means for every unit increase in x, y increases by 3 units.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope of the line is -rac{1}{2}, indicating a downward trend as x increases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other points.

Tags

CCSS.5.G.A.1

Front

If a line has a slope of zero, what does that mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Tags

CCSS.8.EE.B.5