Interpreting Linear Functions

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the coordinates (0, b) in the equation y = mx + b.

Front

How do you find 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 does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two variables by displaying data points on a Cartesian plane.

Tags

CCSS.8.SP.A.1

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Tags

CCSS.8.EE.B.5

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another by finding the corresponding point on the line.

Tags

CCSS.8.EE.B.5

Front

What is 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