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5-5 Standard Form

5-5 Standard Form. To graph and write equations in standard form using intercepts. 5-5 Standard Form. The graph represents Grams of protein per oz of peanuts and cashews. The athletes mix the Nuts to contain a certain amt Of protein. What does the points (0, 4) and (7, 0) tell you

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5-5 Standard Form

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  1. 5-5 Standard Form To graph and write equations in standard form using intercepts

  2. 5-5 Standard Form • The graph represents Grams of protein per oz of peanuts and cashews. The athletes mix the Nuts to contain a certain amt Of protein. What does the points (0, 4) and (7, 0) tell you About the oz of peanuts And cashews. Oz of peanuts 4 7 Oz of cashews

  3. 5-5 Standard Form • Remember the y-intercept is the y-coordinate of a point where a graph crosses the y-axis. • What is the x-coordinate? • The x-intercept is the x-coordinate of a point where a graph crosses the x-axis. • What is the y-coordinate?

  4. 5-5 Standard Form • Standard form of a linear equation is Ax + By = C, where A, B, C are real numbers and A & B are not BOTH zero.

  5. 5-5 Standard Form Ex 1: What are the x- and y- intercepts of the graph 3x + 4y = 24 To find the x-int: set y= 0 and find x To find the y-int: set x = 0 and find y

  6. 5-5 Standard Form Ex2: Graph x – 2y = -2 Find two points and graph: Use x and y intercepts X-int = Y-int =

  7. 5-5 Standard Form The line y = b where b is a real number Is a graph of an horizontal line. The line x = a where b is a real number Is a graph of an vertical line.

  8. 5-5 Standard Form Ex 3: Graph x = 3 and y = 3 Standard form is 1x + 0y = 3 & 0x + 1y = 3

  9. 5-5 Standard Form Ex 4: Rewrite y = x + 5 in standard notation:

  10. 5-5 Standard Form Summary: Label slope, y-int, x-int, a pt (x, y) Forms: Slope-Intercept y = mx + b Point-Slope y – y1 = m(x - x1) Standard Ax + By = C

  11. 5-5 Standard Form HW p. 326 9 – 36 every third

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