Exploring Linear Equations and Graphs

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

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 slope = rising, negative slope = falling).

Front

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

Back

Front

What is the standard form of a linear equation?

Back

Front

What is the difference between a dependent and independent variable?

Back

Front

How do you graph a linear equation?

Back

To graph a linear equation, you can find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through these points.

Front

What does it mean for a system of equations to be consistent?

Back

A system of equations is consistent if there is at least one solution that satisfies all equations in the system.

Front

What is the meaning of the term 'solution' in the context of a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.

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Back

Front

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

Back

To determine if a point is a solution to a linear equation, substitute the x and y values of the point into the equation. If the equation holds true, then the point is a solution.