Linear Relationships Review

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, where the change in one variable is proportional to the change in the other.

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What is a proportional relationship?

Back

A proportional relationship is a type of linear relationship where the ratio of the two variables is constant, meaning that as one variable increases or decreases, the other does so in a consistent manner.

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What is a non-proportional linear relationship?

Back

A non-proportional linear relationship is a linear relationship that does not pass through the origin, indicating that there is a constant difference between the two variables rather than a constant ratio.

Front

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

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are constant across the table.

Front

What does the slope of a linear equation represent?

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

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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 zero.

Front

How do you find the solution to a system of linear equations graphically?

Back

The solution to a system of linear equations can be found by identifying the point where the graphs of the equations intersect.

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What does it mean for a system of equations to be consistent?

Back

A system of equations is consistent if it has at least one solution, meaning the lines intersect at one or more points.

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What does it mean for a system of equations to be inconsistent?

Back

A system of equations is inconsistent if it has no solutions, meaning the lines are parallel and never intersect.

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.