Systems of Equations Graphing

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What is a system of equations?

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A set of two or more equations with the same variables that are solved together.

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What does it mean to graph a system of equations?

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It means to plot the equations on a coordinate plane to find their intersection point(s), which represent the solution(s).

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The y-intercept is the value of y when x = 0, represented by b in the equation.

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

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The slope is -2.

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What is the solution to the system of equations represented by the intersection of two lines?

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The solution is the point where the two lines intersect, which satisfies both equations.

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

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It means they have the same slope and will never intersect, indicating no solution to the system.

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

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It means they lie on top of each other, indicating infinitely many solutions.

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How do you determine the x-intercept from an equation?

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Set y = 0 in the equation and solve for x.

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