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1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
1.4 equations
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1.4 equations

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  1. 1.4 Equations/Formulas
  2. Linear Equations • Equations are like recipes! • They tell us how to make a picture (graph) of a function •We just have to know how to read the recipe…
  3. Slope-Intercept Form (S-IF) • y = mx + b • b is the y-intercept. ▫ Tells us where to begin. • m is the slope. ▫ Tells us how to move.
  4. Graphing from S-IF • Plot y-intercept first (on the Y-AXIS!!) • Use the slope to plot more points. ▫ Remember: Slope is rise ! run Example: y = 2x – 4
  5. Example: • Graph
  6. You Try! • Graph y = -3x + 6
  7. Writing Equations from Graphs • In slope-intercept form: • Find the y-intercept ▫ This is b! • Count the slope and reduce ▫ This is m! •Write equation ▫ Leave x and y, just replace m and b!
  8. Example: •Write an equation in S-IF for the graph shown. (Draw in the points first!) • y = ____ x + ____
  9. Example: •Write an equation in S-IF for the graph shown.
  10. You Try! •Write an equation in S-IF for the graph shown.
  11. Point-Slope Form (P-SF) • y = m(x – x1) + y1 •m is still slope • x1 and y1 are coordinates of a point (x1, y1) on the line
  12. Graphing from P-SF 1. Write the ordered pair for your point (x1, y1) ▫ Need to change the sign of the x-coordinate since it’s y = m(x – x1) + y1 ▫ For example, the point for y = 2(x + 3) – 1 is (-3, -1). 2. Plot that point. 3. From there, use the slope (m) to plot more points
  13. Example: • Graph y = (x + 4) + 3
  14. Example: • Graph y = 4(x – 3) + 5
  15. You Try! • Graph y = -(x + 2) – 4
  16. Writing Equations from Graphs • In point-slope form: • Find ANY point on the line ▫ This is (x1, y1)! • Count the slope and reduce ▫ This is m! •Write equation y = m(x – x1) + y1 ▫ Leave x and y, just replace m, x1 and y1!
  17. Example: •Write an equation in P-SF for the graph shown. y = ___(x - ___) +___
  18. Example: •Write an equation in P-SF for the graph shown.
  19. You Try! •Write an equation in P-SF for the graph shown.

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