5.5 B Standard and Point Slope Form

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5.5 B Standard and Point Slope Form

  1. 1. 5.5 Standard and Point-Slope Forms B 5.5 Practice
  2. 2. Write each equation in Standard Form. Standard Form : Ax + By = C <ul><li>1. 7x + 2y - 11 = 0 </li></ul>+11 +11 7x + 2y = 11
  3. 3. Write each equation in Standard Form. Standard Form : Ax + By = C <ul><li>2. 4x = 8y + 10 </li></ul>-8y -8y 4x - 8y = 10
  4. 4. Write each equation in Standard Form. Standard Form : Ax + By = C <ul><li>3. -12x + 2 = 17y - 3 </li></ul>-17y -17y -12x - 17y + 2 = -3 <ul><ul><li>-2 -2 </li></ul></ul>-12x - 17y = -5
  5. 5. Write each equation in Standard Form. Standard Form : Ax + By = C <ul><li>4. 4y = 2x - 8 </li></ul>-2x - 2x -2x + 4y = -8
  6. 6. Write an equation in point-slope form for the line that has the given slope and the given point. <ul><li>5. Slope 3/4, (4, 6) </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _6__ = _ 3/4 _(x - _4_ )
  7. 7. Write an equation in point-slope form for the line that has the given slope and the given point. <ul><li>6. Slope -2, (3, 4) </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _4__ = _ -2 _(x - _3_ )
  8. 8. Write an equation in point-slope form for the line that has the given slope and the given point. <ul><li>7. Slope: -3, (-4, 8) </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _8__ = _ -3 _(x - _-4_ ) y - _8_ = _-3_ (x + 4_)
  9. 9. Write an equation in point-slope form for the line that has the given slope and the given point. <ul><li>8. Slope 1/5, (7, -3) </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _-3__ = _ 1/5 _(x - _7_ ) y + 3_ = _1/5_ (x - 7_)
  10. 10. Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. <ul><li>9. (-3, 3), (-4, 4) </li></ul><ul><li>Step 1: Identify Slope & Pts </li></ul>slope = rise = y 2 – y 1 = run x 2 – x 1 4 - 3 = -4 - (-3) x 1 , y 1 x 2 , y 2 1 = -1 -1
  11. 11. <ul><li>9. (-3, 3); m = -1 </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _3__ = _ -1 _(x - _-3_ ) Y - 3 = -1 (x + 3 ) Use each pair of points to write the equation of a line in point-slope form and slope-intercept form.
  12. 12. <ul><li>9. Y-intercept (x=0) </li></ul>Y - 3 = -1 (x + 3 ) Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. Y - 3 = -1 (0 + 3 ) Y - 3 = -1 (3) Y - 3 = -3 Y + 3 = +3 Y = 0
  13. 13. <ul><li>9. Slope-intercept Form </li></ul>Y = mx + b Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. M = -1 B = 0 Y = -1x + 0 Y = -x
  14. 14. Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. <ul><li>10. (5, 2), (-2, 5) </li></ul><ul><li>Step 1: Identify Slope & Pts </li></ul>slope = rise = y 2 – y 1 = run x 2 – x 1 5 - 2 = -2 - 5 x 1 , y 1 x 2 , y 2 3 -7
  15. 15. <ul><li>9. (5, 2); m = -3/7 </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _2__ = _- 3/7 _(x - _5_ ) Use each pair of points to write the equation of a line in point-slope form and slope-intercept form.
  16. 16. <ul><li>10. Y-intercept (x=0) </li></ul>Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. Y - 2 = -3/7 (0 - 5 ) Y - 2 = -3/7 (-5) Y - 2 = 15/7 Y + 2 = + 2 Y = 29/7 = 4 and 1/7 y - _2__ = _- 3/7 _(x - _5_ )
  17. 17. <ul><li>10. Slope-intercept Form </li></ul>Y = mx + b Use each pair of points to write the equation of a line in point-slope form and slope-intercept form. M = -3/7 B = 29/7 Y = -3/7x + 29/7
  18. 18. Find the x and y intercepts, and use them to graph the equation. <ul><li>11. 2x - y = -4 </li></ul>X -intercept - 0 for y 2x - 0 = -4 2x = -4 (-2, 0) 0 - y = -4 2(0) - y = -4 Y-intercept - 0 for x -y = -4 (0, 4) X = -2 y = 4
  19. 19. Find the x and y intercepts, and use them to graph the equation. <ul><li>(-2, 0) and (0, 4) </li></ul>x y
  20. 20. Find the x and y intercepts, and use them to graph the equation. <ul><li>12. X - 2y = 2 </li></ul>X -intercept - 0 for y X - 2(0) = 2 X - 0 = 2 (2, 0) - 2y = 2 0 - 2y = 2 Y-intercept - 0 for x Y = -1 (0, -1) X = 2
  21. 21. Find the x and y intercepts, and use them to graph the equation. <ul><li>(2, 0) and (0, -1) </li></ul>x y 12.

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