IA Systems of linear equations

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What is a system of linear equations?

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A set of two or more linear equations with the same variables.

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What does it mean for two lines to intersect on a graph?

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It means that there is a common solution (x, y) that satisfies both equations.

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What is the solution to a system of equations?

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The point (x, y) where the equations intersect.

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What is the graphical representation of a linear equation?

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A straight line on a coordinate plane.

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

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If the lines are parallel and never intersect.

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

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What does it mean for two lines to be parallel?

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They have the same slope but different y-intercepts.

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How do you find the y-intercept of a linear equation?

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

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What is the combined equation when adding two linear equations?

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You add the corresponding coefficients of x and the constant terms.

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