Graphing and Analyzing Linear Equations

Front

What is a linear equation?

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What does the slope of a line represent?

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The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is and the direction it goes (positive or negative).

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

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What is the significance of the x-intercept?

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What does it mean for a system of equations to have no solution?

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A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

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The graph is a straight line with a slope of -1/3 and a y-intercept at (0, 3).

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How do you solve a system of equations by graphing?

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To solve a system of equations by graphing, plot both equations on the same graph and identify the point(s) where they intersect. This point(s) represents the solution(s).

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What does it mean for a system of equations to have infinitely many solutions?

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A system of equations has infinitely many solutions when the equations represent the same line, meaning they overlap completely.

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What is the solution to the system of equations represented by the graphs intersecting at (3, 5)?

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The solution to the system of equations is the point (3, 5), where the two lines intersect.

Front

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

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