5.5 Standard and Point Slope Forms

5.5 Standard and Point Slope Forms

Point Slope FormulaPoint Slope Formula

Linear Equation FormsLinear Equation Forms

Write an equation in point-slope form of the line that has the given point and slope m.

Write an equation in point-slope form of the line that has the given point and slope m.

1. (1, 9); m = -31. (1, 9); m = -3

y - ____ = ____(x - ___ )y - ____ = ____(x - ___ )

y - y1 = m(x - x1 )y - y1 = m(x - x1 )

y - _9__ = _-3_(x - _1_ )y - _9__ = _-3_(x - _1_ )

Write an equation in point-slope form of the line that has the given point and

slope m.

Write an equation in point-slope form of the line that has the given point and

slope m.

2. (4, -10); m = 22. (4, -10); m = 2

y - ____ = ____(x - ___ )y - ____ = ____(x - ___ )

y - y1 = m(x - x1 )y - y1 = m(x - x1 )

y - _-10__ = _2_(x - _4_ )y - _-10__ = _2_(x - _4_ )

Y + 10 = 2 (x - 4 )Y + 10 = 2 (x - 4 )

Use point-slope form to write an equation for the lines

shown.

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

xY - -2 = 1 (x- 1 )

Y + 2 = 1 (x- 1 )

Use point-slope form to write an equation for the lines

shown.

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

xY - 1 = -1(x - -1)

Y - 1 = -1 (x + 1)

Graph the following equations that are in point-slope form.

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

xPoint: (___, ____)Point: (_3_, _2_)m = rise = run

23

Graph the following equations that are in point-slope form.

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

xPoint: (___, ____)Point: (_2_, _1_)m = rise = run

-1 2

Graph the following equations that are in point-slope form.

Graph the following equations that are in point-slope form.

Identify Point & m

(-2, -2)

(-3, -4)

9. y + 4 = 2(x + 3)

y

xPoint: (___, ____)Point: (-3_, -4_)m = rise = run

21

Write each equation in Standard Form.Standard Form: Ax + By + C

Write each equation in Standard Form.Standard Form: Ax + By + C

10. 5x = 6y + 810. 5x = 6y + 8

- 6y - 6y- 6y - 6y

5x - 6y = 85x - 6y = 8

Write each equation in Standard Form.Standard Form: Ax + By + C

Write each equation in Standard Form.Standard Form: Ax + By + C

12. 4y = 2x - 3112. 4y = 2x - 31

-2x -2x-2x -2x

- 2x + 4y = -31- 2x + 4y = -31

Write each equation in Standard Form.Standard Form: Ax + By + C

Write each equation in Standard Form.Standard Form: Ax + By + C

14. 8x = 7y14. 8x = 7y

-7y -7y-7y -7y

8x - 7y = 08x - 7y = 0

Write each equation in Standard Form.Standard Form: Ax + By + C

Write each equation in Standard Form.Standard Form: Ax + By + C

16. 5x - 2 = 3y + 8x16. 5x - 2 = 3y + 8x-8x -8x-8x -8x

-3x - 2 = 3y-3x - 2 = 3y-3y -3y-3y -3y

-3x - 3y -2 = 0-3x - 3y -2 = 0 +2 +2 +2 +2

-3x - 3y = 2-3x - 3y = 2