Solving Linear Systems by Graphing Algebra 1 7.1 p. 398
System <ul><li>What is a “system?” </li></ul>
System <ul><li>What is a “system?” </li></ul><ul><ul><li>A set of connected things or parts, forming a whole. </li></ul></...
System of Equations <ul><li>What is a “system of equations?” </li></ul>
System of Equations <ul><li>What is a “system of equations?” </li></ul><ul><ul><li>A set of  equations . </li></ul></ul>
System of Equations <ul><li>What is a “system of equations?” </li></ul><ul><ul><li>A set of  equations . </li></ul></ul><u...
Graphing <ul><li>Write each equation in  slope-intercept  form. (y=mx+b) </li></ul>
Graphing <ul><li>Write each equation in  slope-intercept  form. (y=mx+b) </li></ul><ul><li>Graph  both equations. </li></ul>
Graphing <ul><li>Write each equation in  slope-intercept  form. (y=mx+b) </li></ul><ul><li>Graph  both equations. </li></u...
Graphing <ul><li>Write each equation in  slope-intercept  form. (y=mx+b) </li></ul><ul><li>Graph  both equations. </li></u...
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A17-1 graphing systems

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A17-1 graphing systems

  1. 1. Solving Linear Systems by Graphing Algebra 1 7.1 p. 398
  2. 2. System <ul><li>What is a “system?” </li></ul>
  3. 3. System <ul><li>What is a “system?” </li></ul><ul><ul><li>A set of connected things or parts, forming a whole. </li></ul></ul><ul><ul><li>Oxford American Dictionary </li></ul></ul>
  4. 4. System of Equations <ul><li>What is a “system of equations?” </li></ul>
  5. 5. System of Equations <ul><li>What is a “system of equations?” </li></ul><ul><ul><li>A set of equations . </li></ul></ul>
  6. 6. System of Equations <ul><li>What is a “system of equations?” </li></ul><ul><ul><li>A set of equations . </li></ul></ul><ul><ul><li>A solution is an ordered pair, or a point , that satisfies both equations. </li></ul></ul>
  7. 7. Graphing <ul><li>Write each equation in slope-intercept form. (y=mx+b) </li></ul>
  8. 8. Graphing <ul><li>Write each equation in slope-intercept form. (y=mx+b) </li></ul><ul><li>Graph both equations. </li></ul>
  9. 9. Graphing <ul><li>Write each equation in slope-intercept form. (y=mx+b) </li></ul><ul><li>Graph both equations. </li></ul><ul><li>Estimate the coordinates of the point of intersection. </li></ul>
  10. 10. Graphing <ul><li>Write each equation in slope-intercept form. (y=mx+b) </li></ul><ul><li>Graph both equations. </li></ul><ul><li>Estimate the coordinates of the point of intersection. </li></ul><ul><li>Check the coordinates algebraically by substituting into the original equations. </li></ul>

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