Graphs, Tables, and Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the vertical change (rise) and the horizontal change (run) between these points, and then divide the rise by the run.

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, showing a direct relationship between the two variables.

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, showing an inverse relationship between the two variables.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation of a line (y = mx + b).

Front

How do you identify the y-intercept from an equation?

Back

In the equation of a line in slope-intercept form (y = mx + b), the y-intercept is the constant term 'b'.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is a rate of change?

Back

The rate of change is a ratio that describes how one quantity changes in relation to another quantity, often represented as the slope in a linear relationship.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

How do you calculate the rate of change from a table?

Back

To calculate the rate of change from a table, find the difference in the y-values and divide it by the difference in the x-values for two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is written as y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope represent in a real-world context?

Back

In a real-world context, the slope can represent rates such as speed, cost per item, or any other ratio that describes how one quantity changes with respect to another.

Tags

CCSS.8.EE.B.5