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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.


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


Algebra 1

Lesson 6F.IF.4

Algebra 1

Standard Form


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)


2x – 4y= -7


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




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?


Write in standard form Ax + By = C

1) y = -2/5x + 1 2) y = 4 – 5x


Write in standard form. Ax + By = C

3) y = 2/3x – 1/7 4) y = -4/5x + 2/3


Graph

5) y = -3 6) x = 6


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.


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!


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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