Notes for Solving Systems with Desmos (W6)

Front

What is a system of equations?

Back

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 for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system when the coordinates of the point are substituted into the equations.

Front

How do you determine if a point is a solution to a linear equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point is a solution.

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What is the graphical representation of a system of equations?

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The graphical representation of a system of equations is the intersection of the lines represented by each equation on a coordinate plane.

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What is the significance of the intersection point in a system of equations?

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The intersection point represents the solution to the system, indicating the values of the variables that satisfy all equations.

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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 no intersection points, meaning there is no solution to the system of equations.

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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, indicating that there are infinitely many solutions to the system.

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

Back

Front

How can you find the slope of a line from its equation?

Back

Front

What is the meaning of the y-intercept in a linear equation?

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