Linear equations (two variables)

Front

What is a linear equation in two variables?

Back

Front

What does the graph of a linear equation represent?

Back

The graph of a linear equation represents all the solutions of the equation, plotted as a straight line on the coordinate plane.

Front

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

Back

Front

What is the y-intercept of a linear equation?

Back

Front

How do you solve a system of linear equations by graphing?

Back

To solve a system of linear equations by graphing, plot both equations on the same coordinate plane and identify the point where the two lines intersect.

Front

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

Back

If two lines are parallel, it means they have the same slope and will never intersect, indicating that there is no solution to the system.

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

Back

If two lines are coincident, it means they lie on top of each other, indicating that there are infinitely many solutions to the system.

Front

How can you determine the solution of a system of equations graphically?

Back

The solution of a system of equations can be determined graphically by finding the coordinates of the intersection point of the two lines.

Front

What is the substitution method for solving systems of equations?

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The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method for solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.