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No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille. Algebra 1. Today: 5.1 Assignment 5.1 Check Up 5.2 Instruction Break – tp Finish 5.2 Practice.

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Presentation Transcript
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No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

Today:

  • 5.1 Assignment
  • 5.1 Check Up
  • 5.2 Instruction
  • Break – tp
  • Finish 5.2
  • Practice
slide2
No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

Assignment:

  • 5.1 p276 #3-32
  • MidTerm Progress Report Signature
  • Goal Evaluation
slide3

5.1

CHECK UP

Write the equation of the lines in slope-intercept form.

4. Your uncle weigh 200 lbs. If he loses 2 pound per month, write an equation to model this.

slide4
Objectives:

Write linear equations given m and a point.

Use linear equations in real life.

Vocabulary: none

Writing Linear Equations Giventhe Slope and a Point

5.2

slide5

Writing Linear Equations in Slope-Intercept Form

5.1

y = mx + b

  • How to find the Equation of a Line:
  • Find the slope (m) of the line.
  • Find the y-intercept (b) of the line.
  • Plug these values into y = mx + b
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Writing Linear Equations in Slope-Intercept Form

5.2

y = mx + b

  • How to find the Equation of a Line:
  • Find the slope (m) of the line.
  • Find the y-intercept (b) of the line.
    • Plug m and a point into the equation
  • Plug these values into y = mx + b
slide7

Example 1

Writing an Equation of a Line

Write the equation of the line whose slope m = -2 and passes through the point (6, -3).

Find the equations of the lines:

y = -2x + 9

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7

6

5

4

3

2

1

-6

-4

-2

1

2

3

4

5

6

7

-2

-4

-6

Example 2

Writing an Equation of a Line from a Graph

Write the equation of the line shown in the graph.

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Example 3

Writing an Equation of Parallel Lines

Write the equation of the line that is parallel to the line y = -3x – 2 and passes through the point (3, -4)

Find the equations of the lines:

y = -3x + 5

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Example 4

Real Life Linear Models

Between 1995 and 2005, the number of vacation trips in the U.S. take by U.S. residents increased by about 26 million per year. In 2003, U.S. residents went on 740 million vacation trips. Write linear equation the models the number of vacation trips, y (in millions), in terms of the year, t. Let t be the number of years from 1995.

Estimate the number of trips in 2015.

y = 26t + 532

≈ 1052 million trips

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Example 4

Real Life Linear Models

All the employees of a garden center are given a $.40 per hour raise each year. You make $7.15 per hour after three years as an employee. Write a linear equation that models your salary per hour S in terms of n the number of years you have worked at the garden center. Then find your hourly salary after 6 years.

S = .4n + 5.95

$8.35/hr

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Practice

5.2 Assignment

5.1 p282 #3-11,…

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No trumpets sound when the important decisions of our life are made. Destiny is made known silently.

Agnes DeMille

Algebra 1

Assignment:

  • 5.2 p282 #5-11, 13-35 odd, 42-45
  • MidTerm Progress Report Signature
  • Goal Evaluation
slide14

Supply Check

  • textbook
  • pencil
  • binder w/dividers
  • paper
  • graph paper
  • calculator
  • colored pencils
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