Interpreting Linear Graphs

Front

What does the slope represent in a linear graph?

Back

The slope represents the rate of change; it indicates how much the dependent variable changes for a unit change in the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How do you calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are 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 independent variable increases, the dependent variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that the dependent variable does not change as the independent variable changes.

Tags

CCSS.8.EE.B.5

Front

What does a vertical line represent in a graph?

Back

A vertical line represents an undefined slope and indicates that the independent variable does not change.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What is the significance of the y-intercept in real-world situations?

Back

The y-intercept often represents the starting value or initial condition in a real-world context.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

The equation of a line in slope-intercept form is 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