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Brief Review: Linear Equations in Standard Form
 

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 Brief Review: Linear Equations in Standard Form Presentation Transcript

    • Standard Form There are times when a linear equation needs to be expressed in Standard Form. Ax + By = C
    • 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?
    • Standard Form This results in the following equation: 4x + 2.5y = 750 Sandwich price Soda price
    • Standard Form This is a linear equation in Standard Form. To graph it, change it to Slope-Intercept Form. 4x + 2.5y = 750
    • Standard Form Our Math Solver that converts an equation from Standard Form to Slope-Intercept Form shows this process.
    • Standard Form Here is the Solver.
    • Standard Form Input values for A, B, and C. Then press Solve.
    • Standard Form Input the specific values. Then press Solve.
    • Standard Form Here is the solution.
    • Standard Form Here is a close-up of the Solution.
    • Standard Form This is the equation in SlopeIntercept Form. You can graph this equation on a Graphing Calculator. y = −1.6x + 300
    • Standard Form Here is the graph. Use TRACE to find possible solutions.
    • Standard Form Test any coordinates along the graph to verify the equation in Standard Form.