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. Wh...
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 = −1.6...
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.
Brief Review: Linear Equations in Standard Form
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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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