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Would you rather …?. Work a job for a month for 1 penny the first day and double it each day for a month? Or… Work a job for a month and make $5,000,000 at the end of the month? Justify your choice. Starter Goal: Complete in 7 minutes.

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would you rather
Would you rather …?
  • Work a job for a month for 1 penny the first day and double it each day for a month?
  • Or…
  • Work a job for a month and make $5,000,000 at the end of the month?
  • Justify your choice.
slide2

Starter Goal: Complete in 7 minutes

  • Find the slope of the line containing (-2,8) and (-4,-3).
  • What is the slope and the y-intercept?
  • y = -4/5x - 8
  • Graph
  • y = 2/3x - 4
slide4

STANDARD FORM: Ax + By = C

  • no fractions/decimals
  • A must be positive

Example:2x – 4y= -7

where A = 2, B = -4, C = -7

To graph from standard form, convert to

slope-intercept form (y = mx + b)

or use shortcuts if you memorize them
Or…Use shortcuts! (if you memorize them)

Shortcuts:☻ Ax + By = C

-Ax -Ax

By = -Ax + C

B B

y = -A x + C

BB

Slope(m) = -A y-intercept(b) = C

B B

m = -2 or 1 b = -7 or 7

-4 2 -4 4

slide9

STANDARD FORM: Ax + By = C

  • no fractions/decimals
  • A must be positive

Example:2x – 4y = -7

where A = 2, B = -4, C = -7

To graph from standard form, convert to

slope-intercept form (y = mx + b)

OR…

starter
Starter
  • Grab a white board and marker OR a piece of graph paper from bookshelf!
  • Graph 3x – 6y = 12
  • Is it a function?
  • What is the domain? ( , )
  • What is the range?( , )
  • What is the equation in slope-intercept form?
  • Do you have test corrections to turn in? Hmm? Hmm?
slide11

Write in standard form Ax + By = C

1) y = -2/5x + 1 2) y = 4 – 5x

slide12

Write in standard form. Ax + By = C

3) y = 2/3x – 1/7 4) y = -4/5x + 2/3

slide13

Graph

5) y = -3 6) x = 6

slide14

7) Jackie is selling tickets for the school concert: $2 for students and $4 for adults. She hopes to sell $600 worth of tickets. Write an equation to model this situation, then graph it.

slide15

8) You are in charge of buying hamburgers and chicken for a barbecue. The hamburger cost $2 per pound and chicken cost $3 per pound. You have $30 to spend. Write and graph an equation to model this situation.

notes
Notes

Parallel lines are two lines that never intersect. They have the same slope.

-----------------------------------------------------------

Perpendicular lines are two lines that intersect to form right angles. They have opposite reciprocal slopes.

(example: m = 2/3 and m = -3/2)

examples
Examples

a) y = -2/3x + 7 b) y = -3/2x + 4

c) y = 2/3x – 4 d) y = -2/3x – 2

5) Which lines are parallel?

6) Which lines are perpendicular?

your turn
Your Turn!
  • HW: worksheet “Why Did the Cow Want a Divorce? / Why Does a Poor Man Drink Coffee?”
  • Use shortcuts or use slope-intercept form!
slide19

You can also graph by finding the x-intercept and y-intercept (b).

  • 4x – 9y = 12 2) 5x + 3y = 15

x-int: (__, 0) x-int: (__, 0)

y-int: (0, __) y-int: (0, __)

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