Graphing Linear Functions and Systems Review

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

Front

What is the y-intercept of a linear function?

Back

Front

How do you determine if two lines are parallel?

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Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean for two lines to intersect?

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Two lines intersect if they cross each other at a point, which represents the solution to the system of equations formed by the two lines.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.

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What does it mean if a system of equations has no solution?

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A system of equations has no solution if the lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

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A system of equations has infinitely many solutions if the lines are coincident, meaning they lie on top of each other.

Front

How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a solid or dashed line, then shade the appropriate region based on the inequality symbol.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

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