Review Of Slope And The Slope Intercept Formula

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Review Of Slope And The Slope Intercept Formula

  1. 1. Review of Slope and the slope intercept formula y=mx+b
  2. 2. What is the slope of the line that contains these points? <ul><ul><li>Point A (0,3) </li></ul></ul><ul><ul><li>Point B (2,2) </li></ul></ul><ul><li>+2 </li></ul><ul><li>+3 </li></ul>A B
  3. 3. The slope of this line is.. <ul><li>+2 </li></ul><ul><li>+3 </li></ul>A B
  4. 4. What is the slope of this line? <ul><li>-2 </li></ul><ul><li>+2 </li></ul>
  5. 5. What is the slope of this line? <ul><li>-2 </li></ul><ul><li>+2 </li></ul>
  6. 6. What is the slope of this line? <ul><li>+2 </li></ul><ul><li>+1 </li></ul>
  7. 7. What is the y -intercept of this line? <ul><li>In other words, at what coordinate does the line cross the y-axis? </li></ul><ul><li>y intercept is -5 </li></ul>y axis x axis
  8. 8. What is the y -intercept of this line? <ul><li>At what coordinate does the line cross the y-axis? </li></ul><ul><li>y intercept is 0 </li></ul>y axis x axis
  9. 9. What is the y -intercept of this line? <ul><li>At what coordinate does the line cross the y-axis? </li></ul><ul><li>y intercept is +5 </li></ul>y axis x axis
  10. 10. What is the y -intercept of this line? <ul><li>At what coordinate does the line cross the y-axis? </li></ul><ul><li>y intercept is -2 </li></ul>y axis x axis
  11. 11. How to write the equation for this line <ul><li>-2 </li></ul><ul><li>+2 </li></ul>
  12. 12. Write an equation for this line. <ul><li>+2 </li></ul><ul><li>+3 </li></ul>
  13. 13. What is the slope of this line? <ul><li>+2 </li></ul><ul><li>+1 </li></ul>
  14. 14. Write an equation for this line. y axis x axis
  15. 15. Write an equation for this line. y axis x axis
  16. 16. What is the slope of this line?
  17. 17. What is the slope of this line?
  18. 18. Review Part Two Finding Slope without Graphing
  19. 19. When you are given two points you may have to find the slope... <ul><ul><li>Point A (2,-3) </li></ul></ul><ul><ul><li>Point B (3,4) </li></ul></ul><ul><ul><li>… without graphing. </li></ul></ul>A B
  20. 20. Find the slope when you are given two points from a line. <ul><ul><li>Point A (2,-3) </li></ul></ul><ul><ul><li>Point B (3,4) </li></ul></ul><ul><ul><li>Use the formula for slope. </li></ul></ul><ul><ul><li>Remember, m=slope . </li></ul></ul>
  21. 21. Find the slope when you are given two points from a line. <ul><ul><li>Point 1 (2,-3) </li></ul></ul><ul><ul><li>Point 2 (3,4) </li></ul></ul><ul><ul><li>Use the formula for slope. </li></ul></ul><ul><ul><li>Remember, m=slope . </li></ul></ul>
  22. 22. Using the same points, but labeling them #2 and #1 <ul><ul><li>Point 2 (2,-3) </li></ul></ul><ul><ul><li>Point 1 (3,4) </li></ul></ul><ul><ul><li>Use the formula for slope. </li></ul></ul><ul><ul><li>Remember, m=slope . </li></ul></ul>
  23. 23. Find the slope when you are given the following two points from a line. <ul><ul><li>Point C (-2,-6) </li></ul></ul><ul><ul><li>Point D (3,5) </li></ul></ul><ul><ul><li>Use the formula for slope. </li></ul></ul><ul><ul><li>Remember, m=slope . </li></ul></ul>
  24. 24. Find the slope when you are given the following two points from a line. <ul><ul><li>Point E (9,6) </li></ul></ul><ul><ul><li>Point F (1,4) </li></ul></ul><ul><ul><li>Use the formula for slope. </li></ul></ul><ul><ul><li>Remember, m=slope . </li></ul></ul>
  25. 25. Review Part Three Finding the equation from two given points from the line
  26. 26. Find the Linear Equation <ul><ul><li>Point E (9,6) </li></ul></ul><ul><ul><li>Point F (1,4) </li></ul></ul><ul><ul><li>You found the slope (m) to be ¼. </li></ul></ul><ul><ul><li>Insert ¼ as m in the slope intercept formula. </li></ul></ul><ul><li>Let’s pick the x and y values from Point F and insert them into the formula. (1,4) </li></ul>
  27. 27. Write the Linear Equation <ul><ul><li>Point E (9,6) </li></ul></ul><ul><ul><li>Point F (1,4) </li></ul></ul><ul><li>Now use the value for the slope (m) and y-intercept (b) to rewrite the formula. </li></ul>
  28. 28. Write the Linear Equation <ul><ul><li>Use points R and S </li></ul></ul><ul><ul><li>Point R ( 5 , 3 ) </li></ul></ul><ul><ul><li>Point S ( 1 , 7 ) </li></ul></ul><ul><ul><li>Reminder : ( x , y ) </li></ul></ul><ul><li>Substitute the values for Point R. </li></ul><ul><li>3 = -1( 5 ) + b </li></ul><ul><li>3 = -5 + b </li></ul><ul><li>(Add 5 to both sides) </li></ul>
  29. 29. Write the Linear Equation <ul><ul><li>Use points W and T </li></ul></ul><ul><ul><li>Point W ( -4,-3 ) </li></ul></ul><ul><ul><li>Point T ( -2,-6 ) </li></ul></ul><ul><li>Substituting the values for Point T… </li></ul><ul><li>-6 = - 3 / 2 (-2) + b </li></ul><ul><li>-6 = +6 / 2 + b </li></ul><ul><li>(Subtract 3 from both sides) </li></ul>
  30. 30. Review Part Four Find the x and y intercepts
  31. 31. Given: y = -3x + 12 <ul><li>Use zero as the x value. </li></ul><ul><ul><li>y = -3(0) + 12 </li></ul></ul><ul><ul><li>y = 12 </li></ul></ul><ul><ul><li>Replace (x,y) with 0 and 12. </li></ul></ul><ul><ul><li>(0,12) </li></ul></ul><ul><li>Use zero as the y value. </li></ul><ul><ul><li>0 = -3x + 12 </li></ul></ul><ul><ul><li>Subtract 12 from both sides </li></ul></ul><ul><ul><li>- 12 = -3x </li></ul></ul><ul><ul><li>Divide both sides by -3 </li></ul></ul><ul><ul><li>- 12 = -3x </li></ul></ul><ul><ul><li>-3 -3 </li></ul></ul><ul><ul><li>-4 =x </li></ul></ul><ul><ul><li>Replace (x,y) with -4 and 0. </li></ul></ul><ul><ul><li>(-4,0) </li></ul></ul>
  32. 32. Given: y = -4x + 8 Find the x and y intercepts. <ul><li>Use zero as the x value. </li></ul><ul><li>Then use zero as the y value. </li></ul>x intercept is (0,-8) y intercept is (2,0) 0 ? ? 0 y x
  33. 33. Assignment <ul><li>Page 751 top </li></ul><ul><li>#1-15 </li></ul><ul><li>Page 751 </li></ul><ul><li>bottom </li></ul><ul><li>#1-4 </li></ul><ul><li>Page 752 Top </li></ul><ul><li>#19-27 </li></ul>

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