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# Brief Review: Linear Equations in Standard Form

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In this PowerPoint Presentation we show how to convert a linear equation in Standard Form to a linear function in Slope Intercept Form. We go over the reason for such a conversion and applications that give rise to these equations. We also show how to use our Math Solver for converting Standard Form to Slope Intercept Form.

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### Brief Review: Linear Equations in Standard Form

1. 1. Standard Form There are times when a linear equation needs to be expressed in Standard Form. Ax + By = C
2. 2. Standard Form Let’s look at an example: •A deli sells sandwiches for \$4 and sodas for \$2.50. In one day it earned \$750. What combination of sandwiches and sodas could it have sold?
3. 3. Standard Form This results in the following equation: 4x + 2.5y = 750 Sandwich price Soda price
4. 4. Standard Form This is a linear equation in Standard Form. To graph it, change it to Slope-Intercept Form. 4x + 2.5y = 750
5. 5. Standard Form Our Math Solver that converts an equation from Standard Form to Slope-Intercept Form shows this process.
6. 6. Standard Form Here is the Solver.
7. 7. Standard Form Input values for A, B, and C. Then press Solve.
8. 8. Standard Form Input the specific values. Then press Solve.
9. 9. Standard Form Here is the solution.
10. 10. Standard Form Here is a close-up of the Solution.
11. 11. Standard Form This is the equation in SlopeIntercept Form. You can graph this equation on a Graphing Calculator. y = −1.6x + 300
12. 12. Standard Form Here is the graph. Use TRACE to find possible solutions.
13. 13. Standard Form Test any coordinates along the graph to verify the equation in Standard Form.
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