brief review: linear equations in standard form

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http://www.Media4MathPlus.com 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.

TRANSCRIPT

Page 1: Brief Review: Linear Equations in Standard Form
Page 2: Brief Review: Linear Equations in Standard Form

Standard Form

There are times when a linear equation needs to be expressed in Standard Form.

Page 3: Brief Review: Linear Equations in Standard Form

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?

Page 4: Brief Review: Linear Equations in Standard Form

Standard Form

This results in the following equation:

Sandwich price Soda price

Page 5: Brief Review: Linear Equations in Standard Form

Standard Form

This is a linear equation in Standard Form. To graph it, change it to Slope-Intercept Form.

Page 6: Brief Review: Linear Equations in Standard Form

Standard Form

Our Math Solver that converts an equation from Standard Form to Slope-Intercept Form shows this process.

Page 7: Brief Review: Linear Equations in Standard Form

Standard Form

Here is the Solver.

Page 8: Brief Review: Linear Equations in Standard Form

Standard Form

Input values for A, B, and C. Then press Solve.

Page 9: Brief Review: Linear Equations in Standard Form

Standard Form

Input the specific values. Then press Solve.

Page 10: Brief Review: Linear Equations in Standard Form

Standard Form

Here is the solution.

Page 11: Brief Review: Linear Equations in Standard Form

Standard Form

Here is a close-up of the Solution.

Page 12: Brief Review: Linear Equations in Standard Form

Standard Form

This is the equation in Slope-Intercept Form. You can graph this equation on a Graphing Calculator.

Page 13: Brief Review: Linear Equations in Standard Form

Standard Form

Here is the graph.

Use TRACE to find possible solutions.

Page 14: Brief Review: Linear Equations in Standard Form

Standard Form

Test any coordinates along the graph to verify the equation in Standard Form.