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5.7.1 Ax + By = C Form (standard form). Remember slope intercept form? y = mx + b This equation gives a lot of information about slope and intercept Good.

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Presentation on theme: "5.7.1 Ax + By = C Form (standard form). Remember slope intercept form? y = mx + b This equation gives a lot of information about slope and intercept Good."— Presentation transcript:

1 5.7.1 Ax + By = C Form (standard form)

2 Remember slope intercept form? y = mx + b This equation gives a lot of information about slope and intercept Good for some real life applications Integers {... -3, -2, -1, 0, 1, 2, 3...}

3 Standard Form Ax + By = C where A, B, and C are integers Where (0, ) y-intercept And Where (, 0) x-intercept X-intercept y-intercept

4 Similarities Both are great for graphing equations of a line. Graph y=mx +b using slope and y-intercept Graph Ax + By = C using two intercept method.

5 Differences y=mx +b gives slope information which is nice for many applications we have seen, usually when time is a variable Ax + By = C gives two intercepts which is useful for other types of applications, usually when time is not a variable (maximization problems)

6 Finding the slope For Ax + By = C The slope is:

7 Graphing (problems 1-11, 15-22) Ex) x + y = 2 A = 1 B = 1 C = 2 x intercept (, 0) (2, 0) y intercept ( 0, ) (0, 2)

8 Point Slope form (problems 24 – 31) Given a point and the slope: m = 6; (3, 4) Use the point slope form of the equation: y – 4 = 6(x – 3) y – 4 = 6x – 18 y – 6x = -14

9 Homework p , 5 – 13 odd, 21 – 27 odd, 33, 35


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