Identify Linear Relationships

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It has a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean if a relationship is not linear?

Back

If a relationship is not linear, it means that the change between the variables is not constant and cannot be represented by a straight line.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear relationship from a table of values?

Back

A linear relationship can be identified if the differences between the y-values divided by the differences between the x-values are constant.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a linear relationship?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is an example of a linear relationship?

Back

An example of a linear relationship is the equation y = 2x + 3, which represents a straight line.

Tags

CCSS.HSF-LE.A.1B

Front

What is an example of a non-linear relationship?

Back

An example of a non-linear relationship is the equation y = x^2, which represents a parabola.

Tags

CCSS.8.F.A.3

Front

What does a table of values for a linear relationship look like?

Back

A table of values for a linear relationship shows pairs of x and y values that maintain a constant difference in y for equal differences in x.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is typically 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

How do you graph a linear equation?

Back

To graph a linear equation, plot the y-intercept on the y-axis, then use the slope to find another point, and draw a straight line through the points.