The document discusses point-slope form and standard form of linear equations. It provides examples of writing equations in point-slope form given a point and slope, finding the slope between two points, and graphing lines from their point-slope form. It also demonstrates how to write equations in standard form from their point-slope form.

1. 5.5 Standard and Point Slope Forms

3. Point Slope Formula

4. Linear Equation Forms

5. Write an equation in point-slope form of the line that has the given point and slope m. (1, 9); m = -3 y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _9__ = _ -3 _(x - _1_ )

6. Write an equation in point-slope form of the line that has the given point and slope m. 2. (4, -10); m = 2 y - ____ = ____(x - ___ ) y - y 1 = m(x - x 1 ) y - _-10__ = _ 2 _(x - _4_ ) Y + 10 = 2 (x - 4 )

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 )

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)

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

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

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

12. Write each equation in Standard Form. Standard Form : Ax + By + C 10. 5x = 6y + 8 - 6y - 6y 5x - 6y = 8

13. Write each equation in Standard Form. Standard Form : Ax + By + C 12. 4y = 2x - 31 -2x -2x - 2x + 4y = -31

14. Write each equation in Standard Form. Standard Form : Ax + By + C 14. 8x = 7y -7y -7y 8x - 7y = 0

15. Write each equation in Standard Form. Standard Form : Ax + By + C 16. 5x - 2 = 3y + 8x -8x -8x -3x - 2 = 3y -3y -3y -3x - 3y -2 = 0 +2 +2 -3x - 3y = 2