Solving Systems by Graphing

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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 of equations by graphing?

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Solving a system of equations by graphing involves plotting the equations on a graph and identifying the point(s) where they intersect, which represents the solution.

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

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How do you convert an equation to slope-intercept form?

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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, they have the same slope but different y-intercepts, meaning they will never intersect and thus have no solution.

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

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If two lines are coincident, they lie on top of each other, meaning they have infinitely many solutions as every point on the line is a solution.

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What is the intersection point of two lines?

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The intersection point is the coordinate pair (x, y) where the two lines meet, representing the solution to the system of equations.

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How can you determine if a system of equations has no solution?

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A system has no solution if the lines are parallel, meaning they have the same slope but different y-intercepts.

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The solution is the intersection point (2, 0).