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WARM UP

WARM UP. 4. SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18. WARM UP. 3. SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18. WARM UP. 2.

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WARM UP

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  1. WARM UP 4 SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18

  2. WARM UP 3 SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18

  3. WARM UP 2 SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18

  4. WARM UP 1 SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18

  5. WARM UP 0 CERTIFIED SOLVING EQUATIIONS Solve the equation. (lesson 3.3) 8 + y = 3 y – 9 = 2 6(x + 15) = 120 2(x + 5) =18

  6. 5.4 Standard Form Wha two ‘spect in the nex 6 daze! 2/3 5.4b 2/4 5.3 – 5.4 Review 2/5 Quiz 2/6 5.6 2/7 Unit 5 Review 2/10 Unit 5 Test

  7. 5.4 Standard Form Today’s Schedule: Lesson 5.4 Powerpoint In class assignment/homework GOAL: Write an equation of a line in standard form. KEY WORDS Standard form Slope-intercept form Point-slope form Integer coefficient

  8. 5.4 Standard Form The STANDARD FORM of an equation of a line is: Ax + By = C Where A and B are integers (not fractions) and not both zero. STANDARD FORM

  9. Write an Equation in Standard Form A line intersects the axes at (4, 0) and (0, 3). Write the equation of the line in standard form. SOLUTION Findthe slope. 5.4 Standard Form y2 – y1 x2 - x1 EXAMPLE 3 m =

  10. Write an Equation in Standard Form A line intersects the axes at (4, 0) and (0, 3). Write the equation of the line in standard form. SOLUTION Write an equation of the line using slope-intercept form. y = mx + b 5.4 Standard Form EXAMPLE 3

  11. Write an Equation in Standard Form Write slope-intercept form y = mx + b Substitute - for m and 3 for b. y = - x + 3 Multiply each side by 4. Use the distributive property Add 3x to each side ANSWER> The equation 3x + 4y = 12 is standard form. 5.4 Standard Form EXAMPLE 3

  12. 5.4 Standard Form PRACTICE Write in standard form an equation of the line that intersects the axes at (2,0) and (0,5)

  13. 5.4 Standard Form HORIZONTAL AND VERTICAL LINES Recall from Lesson 4.5 that the slope of a horizontal line is ZERO and the slope of a vertical line is UNDEFINED. In example 4 you will learn how to write equations of horizontal and vertical lines in standard form.

  14. Equations of Horizontal and Vertical Lines Write an equation of the RED line in standard form. SOLUTION 5.4 Standard Form Each point on this horizontal line has a y-coordinate of -3. So, the Equation of the line is y = -3. This equation is in STANDARD FORM EXAMPLE 4

  15. Equations of Horizontal and Vertical Lines Write an equation of the RED line in standard form. SOLUTION 5.4 Standard Form Each point on this vertical line has a x-coordinate of 2. So, the Equation of the line is x = 2. This equation is in STANDARD FORM EXAMPLE 4

  16. 5.4 Standard Form PRACTICE Write an equation of the line in standard form.

  17. 5.4 Standard Form PRACTICE Write an equation of the line in standard form.

  18. 5.4 Standard Form YOUR TURN Page 295 #s 30-44

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