5.5 standard and point slope forms

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