Understanding Linear Equations and Graphs

Front

What is a linear equation?

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Front

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.

Front

What is the y-intercept of a linear equation?

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Front

What does it mean if two linear equations have no solution?

Back

If two linear equations have no solution, it means that the lines are parallel and will never intersect.

Front

What does it mean if two linear equations have infinitely many solutions?

Back

If two linear equations have infinitely many solutions, it means that the lines are the same line, and every point on the line is a solution.

Front

How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?

Back

You can determine this by graphing the equations and observing their intersection points: one intersection means one solution, no intersection means no solution, and overlapping lines mean infinitely many solutions.

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Back

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means they intersect at a right angle.

Front

What is the standard form of a linear equation?

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