Bellwork 12/1 1.) Write an equation of a line given the points (1,6) & (3,-4) 1.) Find the Slope 2.) Plug in one point and the slope. (y - y1) =

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Presentation transcript:

Bellwork 12/1 1.) Write an equation of a line given the points (1,6) & (3,-4) 1.) Find the Slope 2.) Plug in one point and the slope. (y - y1) = m(x - x1)

1.) Write an equation of a line given The points (1,6) & (3,-4) 1.) Find the Slope m = (-4 -6)/(3-1) m = -10/2 = -5

Write an equation of a line given The points (1,6) & (3,-4) 2.) Plug in one of the points (y - y1) = m(x - x1) (y - 6) = -5(x - 1) y - 6 = -5x + 5

Write an equation of a line given y - 6 = -5x + 5 y - 6 + 6 = -5x + 5 + 6 y = -5x + 11

Today’s Objective To be able to Re-Write and equation in Standard Form. Ax + By = C…… where A,B & C are real numbers

Slope, y-intercept y=mx+b Point, Slope y-y1=m(x-x1) Equations of Lines Vertical line x = # Horizontal line y = # Slope, y-intercept y=mx+b Point, Slope y-y1=m(x-x1) Standard Form Ax+By = C

1.) Writing an equation in Standard Form Ax + By = C y = 2/5x - 3 The 1st step is to multiply both sides by 5. Why?

1.) Writing an equation in Standard Form Ax + By = C y = 2/5x - 3 (5)y = (2/5x - 3)5 5y = 2x - 15 5y -2x = 2x -2x - 15 -2x + 5y = -15

Writing an equation in Standard Form Ax + By = C y = 1/2x + 4 The 1st step is to multiply both sides by 2. You Try This One

Writing an equation in Standard Form Ax + By = C y = 1/2x + 4 (2)y = (1/2x + 4)2 2y = x + 8 2y -x = x -x + 8 -x + 2y = 8

2.) Writing an equation in Standard Form Ax + By = C y = 0.55x + 1.35 The 1st step is to multiply both sides by 100. Why?

2.) Writing an equation in Standard Form Ax + By = C y = 0.55x + 1.35 (100) y = (0.55x + 1.35)100 100y = 55x + 135 100y -55x = 55x -55x + 135 -55x + 100y = 135

-55x + 100y = 135 Since all 3 TERMS are divisible by 5, we can simplify by dividing both sides by 5. (-55x + 100y)/5 = 135/5 -11x + 20y = 27

Writing an equation in Standard Form Ax + By = C y = 0.7x + 1.3 The 1st step is to multiply both sides by 10. You Try This One

2.) Writing an equation in Standard Form Ax + By = C y = 0.7x + 1.3 (10) y = (0.7x + 1.3)10 10y = 7x + 13 10y -7x = 7x -7x + 13 -7x + 10y = 13

Test 5 Review a.)slope and y-intercept b.) Graph of the line Write Equations of lines given a.)slope and y-intercept b.) Graph of the line c.) 2 points d.) y=mx+b ~ Ax+By=C

Test 5 Review Do page 263 (1-9, skip 7) Due Friday Do Review worksheet

Classwork Do worksheet 5.6 homework page 267 (1-18)

Bellwork 12/3 ~ Write the equation of the line 1.) (3,4) m = 6 2.) y-intercept = 3, slope=2 3.) (6,-2) & (-4, 4)

Write the equation 1.) (3,4) m = 6 y - y1 = m(x - x1) y - 4 = 6(x - 3)

Write the equation 2.) y-intercept = 3, slope=2 y = 2x + 3

Write the equation 3.) (6,-2) & (-4, 4) m = (4 - -2)/(-4 - 6) y - y1 = m(x - x1) y - 4 = -3/5(x - -4)

Write the equation y - 4 = -3/5(x - -4) y - 4 = -3/5x - 12/5

Test 5 Review a.)slope and y-intercept b.) Graph of the line Write Equations of lines given a.)slope and y-intercept b.) Graph of the line c.) 2 points d.) y=mx+b ~ Ax+By=C

y = 2x - 7 Chapter 5 Review 1.) Slope = 2, y-intercept = -7 D.) y = 2x - 3

Chapter 5 Review 3.) Write an equation Y 5 X -7 y = -12/5x - 7

Chapter 5 Review 4.) (-2, 6) , slope = -4 y - y1 = m(x - x1) y - 6 = -4(x - -2) y - 6 = -4x - 8 y - 6 + 6 = -4x - 8 + 6 y = -4x -2

5.) 5y - 2x = 3 5y - 2x + 2x = 3 + 2x 5y = 2x + 3 5y/5 = (2x + 3)/5 Chapter 5 Review 5.) 5y - 2x = 3 5y - 2x + 2x = 3 + 2x 5y = 2x + 3 5y/5 = (2x + 3)/5 y = 2/5x + 3/5

Chapter 5 Review 6.) (-5, -1) , slope = -4 y - y1 = m(x - x1) y - -1 = -4(x - -5) y + 1 = -4x - 20 y + 1 - 1 = -4x - 20 - 1 y = -4x - 21

Chapter 5 Review 7.) (3,-1) , slope = 3 y - y1 = m(x - x1) y - -1 = 3(x - 3) y + 1 = 3x - 9 y + 1 - 1 = 3x - 9 - 1 y = 3x - 10

Chapter 5 Review 8.) (-2, -2) slope = 2 Y y = 2x + 2 X

9.) (2, -18) and ( 1,-12) 1.) Find the Slope m = (-12 - -18)/(1 - 2) Chapter 5 Review 9.) (2, -18) and ( 1,-12) 1.) Find the Slope m = (-12 - -18)/(1 - 2) m = (-12 + 18)/(-1) m = 6/-1 = -6

9.) (2, -18) and ( 1,-12) y - y1 = m(x - x1) Chapter 5 Review y - -12 = -6(x - 1) y + 12 = -6x + 6 y + 12 - 12 = -6x + 6 - 12 y = -6x - 6

Chapter 5 Review 10.) Write an Equation Y y = -2/3x + 6 X

11.) y = -3/5x + 9/5 (5)y = (-3/5x + 9/5)5 5y = -3x + 9 Chapter 5 Review 11.) y = -3/5x + 9/5 (5)y = (-3/5x + 9/5)5 5y = -3x + 9 5y + 3x = -3x + 3x+ 9 3x + 5y = 9

12.) (2, -4) and ( 7,3) 1.) Find the Slope m = (3 - -4)/(7 - 2) Chapter 5 Review 12.) (2, -4) and ( 7,3) 1.) Find the Slope m = (3 - -4)/(7 - 2) m = 7/5

12.) (2, -4) and ( 7,3) y - y1 = m(x - x1) y - -4 = 7/5(x - 2) Chapter 5 Review 12.) (2, -4) and ( 7,3) y - y1 = m(x - x1) y - -4 = 7/5(x - 2) y + 4 = 7/5(x - 2)