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# Graphing Equations Using Algebra Calculator

## 7.1 SOLVING EQUATIONS IN TWO VARIABLES

❶Simplifying Using the Distributive Property. Graphing the solutions yields a vertical line as shown in Figure 7.

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The first portion of the book is homework help graphing linear equations investigation of functions – and revisited throughout. In addition to the paper homework sets, an emphasis is placed on motivating the concepts and on modeling and interpretation.

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Graphing Linear Equations Linear equations: Linear equations are nothing but algebraic equations in which each term has either a real constant or the product of a real constant other than zero and a single variable involved in the equation.

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To graph a linear equation, we can use the slope and y-intercept. Locate the y-intercept on the graph and plot the point. From this point, . The solution set to any equation is the place where BOTH equations meet on the xy-plane. This meeting place is called the Point of Intersection. If you have a linear equation and a quadratic equation on the same xy-plane, there may be TWO POINTS where the graph of each equation will meet or intersect.

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For example, an equation such 3x +5y = 16 is already in standard form, as a equals 3, b equals 5, and c equals Similarly, an equation such as y = 5x – 3 can be put in standard form as -5x +y = Graphing Linear Functions. If the equation for a function can be written in standard form, it can be graphed as a linear function. Suppose the . Systems of linear equations can be solved by other methods than graphing, such as substitution and elimination. When solving by elimination, some systems can be solved by addition, subtraction, and multiplication.