Linear Relationships Test Review

Front

What is a linear relationship?

Back

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What is the y-intercept (b) in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

Back

Front

What is the equation of a line with a slope of 3 and a y-intercept of 6?

Back

Front

What does the constant of proportionality (k) represent?

Back

Front

How do you find the equation of a line given two points?

Back

Front

What is the difference between direct variation and linear relationships?

Back

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane, where the slope determines the angle of the line and the y-intercept determines where it crosses the y-axis.

Front

How do you determine if a relationship is linear from a table of values?

Back

To determine if a relationship is linear from a table of values, check if the differences between consecutive y-values divided by the differences between consecutive x-values are constant. If they are, the relationship is linear.