Solving Systems by Graphing (already in y=)

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What is a system of equations?

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

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What does it mean to solve a system by graphing?

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Solving a system by graphing involves plotting each equation on the same coordinate plane and identifying the point(s) where the graphs intersect.

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What is the solution to a system of equations?

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The solution to a system of equations is the set of values for the variables that satisfy all equations in the system.

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What does it mean if two lines are parallel in a system of equations?

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If two lines are parallel, it means they have the same slope and will never intersect, indicating that the system has no solution.

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What does it mean if two lines coincide in a system of equations?

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If two lines coincide, they lie on top of each other, meaning there are infinitely many solutions to the system.

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How do you find the slope of a line from an equation in slope-intercept form?

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The y-intercept is -4.

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What does it mean if a system of equations has one solution?

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If a system has one solution, it means the lines intersect at exactly one point, which is the unique solution to the system.

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How can you determine if a point is a solution to a system of equations?

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To determine if a point is a solution, substitute the x and y values into each equation. If both equations are satisfied, the point is a solution.