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5.5 Standard And Point Slope Forms

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5.5 Standard And Point Slope Forms

1. 1. 5.5 Standard and Point Slope Forms
2. 3. Point Slope Formula
3. 4. Linear Equation Forms
4. 5. Write an equation in point-slope form of the line that has the given point and slope m. <ul><li>(1, 9); m = -3 </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _9__ = _ -3 _(x - _1_ )
5. 6. Write an equation in point-slope form of the line that has the given point and slope m. <ul><li>2. (4, -10); m = 2 </li></ul>y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _-10__ = _ 2 _(x - _4_ ) Y + 10 = 2 (x - 4 )
6. 7. Use point-slope form to write an equation for the lines shown. m = rise run (4, 1) (1, -2) = 3 3 4. Find the Slope Write equation Y - __ = __(x-__) = 1 y x Y - -2 = 1 (x- 1 ) Y + 2 = 1 (x- 1 )
7. 8. Use point-slope form to write an equation for the lines shown. m = rise run (-1, 1) (4, -4) = - 5 5 5. Find the Slope Write equation Y - __ = __(x-__) = -1 y x Y - 1 = - 1 (x - -1 ) Y - 1 = -1 (x + 1)
8. 9. Graph the following equations that are in point-slope form. Identify Point & m (3, 2) (6, 4) 7. Y - 2 = 2 (x - 3) 3 y x Point: (___, ____) Point: ( _3_ , _2_ ) m = rise = run 2 3
9. 10. Graph the following equations that are in point-slope form. Identify Point & m (2, 1) (4, 0) 8. y - 1 = - 1 (x - 2) 2 y x Point: (___, ____) Point: ( _2_ , _1_ ) m = rise = run - 1 2
10. 11. Graph the following equations that are in point-slope form. Identify Point & m (-2, -2) (-3, -4) 9. y + 4 = 2(x + 3) y x Point: (___, ____) Point: ( -3_ , -4_ ) m = rise = run 2 1
11. 12. Write each equation in Standard Form. Standard Form : Ax + By + C <ul><li>10. 5x = 6y + 8 </li></ul>- 6y - 6y 5x - 6y = 8
12. 13. Write each equation in Standard Form. Standard Form : Ax + By + C <ul><li>12. 4y = 2x - 31 </li></ul>-2x -2x - 2x + 4y = -31
13. 14. Write each equation in Standard Form. Standard Form : Ax + By + C <ul><li>14. 8x = 7y </li></ul>-7y -7y 8x - 7y = 0
14. 15. Write each equation in Standard Form. Standard Form : Ax + By + C <ul><li>16. 5x - 2 = 3y + 8x </li></ul>-8x -8x -3x - 2 = 3y -3y -3y -3x - 3y -2 = 0 +2 +2 -3x - 3y = 2