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Precalculus Section 1.1 Find the intersection of two lines Find the length and midpoint of a line segment You have two job offers. The wage for the first.

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Presentation on theme: "Precalculus Section 1.1 Find the intersection of two lines Find the length and midpoint of a line segment You have two job offers. The wage for the first."— Presentation transcript:

1 Precalculus Section 1.1 Find the intersection of two lines Find the length and midpoint of a line segment You have two job offers. The wage for the first is $8 per hour and you will get a $.50 raise each month. The second offer has a wage of $6 per hour, and you get a $.75 raise each month. When will the wages be equal?

2 A point in a plane can be represented by an ordered pair in the form (x,y). The x value is called the abscissa, and the y value is the ordinate. Plot the points. A. (3,-2) B. (-5,6) C. (0,4)

3 A line can be represented by a linear equation. General form of a linear equation: Ax + By = C. Graph 2x + 3y = 12 Vertical lines take the form x = c. Horizontal lines take the form y = c. Graph x = 3 and y = -4

4 Find where the lines cross. Solve algebraically and graphically. 3x – y =9 7x – 5y = 25

5 Types of solutions to linear systems. No solution one solution infinite solutions

6 You have two job offers. The wage for the first is $8 per hour and you will get a $.50 raise each month. The second offer has a wage of $6 per hour, and you get a $.75 raise each month. When will the salaries be equal?

7 Let A = (x 1,y 1 ) and B = (x 2,y 2 ) The length of segment AB is given by d = The midpoint of segment AB is given by M = (, )

8 If A = (3,5) and B = (-4,6), find the length of segment AB and its midpoint.

9 Assignment Page 5 Problems 2-18 even, 19,25, 28 & 32 ec


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