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Lesson 5.3- Slope Intercept Form, pg. 272

Lesson 5.3- Slope Intercept Form, pg. 272. Goals : To write and graph linear equations in slope-intercept form. To model real-world data with an equation in slope-intercept form. Slope-Intercept Form.

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Lesson 5.3- Slope Intercept Form, pg. 272

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  1. Lesson 5.3- Slope Intercept Form, pg. 272 Goals: To write and graph linear equations in slope-intercept form. To model real-world data with an equation in slope-intercept form.

  2. Slope-Intercept Form • The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. Y = mx + b slope Y-intercept

  3. slope: 3 y-intercept: -5 slope: -3/5 y-intercept: 0 Ex. 1: Write an equation given slope and y-intercept

  4. slope: 0.5 y-intercept: 7.5 slope: 8 y-intercept: -3 slope: 4 y-intercept: -2 slope: -1 y-intercept: -7

  5. y 5 x -5 -5 5 Ex. 2: Write an equation of the line shown in each graph. 1.

  6. y 5 x -5 -5 5 2.

  7. y 5 x -5 -5 5 3.

  8. y 5 x -5 -5 5 Ex. 3: Graph the equation. 1. y = x - 2

  9. y 5 x -5 -5 5 2. y = -x + 2

  10. y 5 x -5 -5 5 3. y = -1/3x - 3

  11. y 5 x -5 -5 5 4. 2x – y = -3

  12. y 5 x -5 -5 5 5. 4x – 3y = 3

  13. Ex. 3: Write a linear equation in slope-intercept form to model the situation. • An auto repair shop charges $50 plus $25 per hour. Y = mx + b

  14. 2. The temperature is 15° and is expected to fall 2° each hour during the night. Y = mx + b

  15. A computer technician charges $75 for a consultation plus $35 per hour. Y = mx + b

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