STAAR Review - 6

Front

What is the definition of slope in mathematics?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope of a line using two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is a slope triangle and how is it used?

Back

A slope triangle is a right triangle formed by the rise (vertical change) and run (horizontal change) between two points on a line, used to visually represent and calculate the slope.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it represents a constant ratio between two quantities, typically shown as a straight line passing through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as the horizontal change occurs.

Tags

CCSS.8.EE.B.5

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine which graph has the least slope?

Back

To determine which graph has the least slope, compare the steepness of the lines; the line that rises the least vertically for a given horizontal distance has the least slope.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line; a positive slope indicates an upward trend, while a negative slope indicates a downward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases, resulting in a downward trend on the graph.

Tags

CCSS.8.EE.B.5

Front

How can you visually represent slope on a graph?

Back

Slope can be visually represented by drawing a right triangle between two points on the line, with the vertical leg representing the rise and the horizontal leg representing the run.

Tags

CCSS.8.EE.B.5