5.5 standard and point slope forms
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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
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