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Can you find the pattern?. 3-2 Solving by Graphing. Objective: to find the root/solution/zero of a linear equation by graphing. Vocabulary. Root/ Zeros/ Solutions : the solutions of a equations; x-intercepts. Linear Function. Example 1 B.

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## Can you find the pattern?

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**3-2 Solving by Graphing**Objective: to find the root/solution/zero of a linear equation by graphing.**Vocabulary**• Root/ Zeros/ Solutions: the solutions of a equations; x-intercepts.**Example 1 B**Method Solve by graphing. Using the x and y intercepts. B. Solve Where does the graph cross the x-axis?**Example 1 B**The graph intersects the x-axis at –3. Answer: So, the solution is –3.**TOO**Solve for the solution to the linear equation. A.x = –4 B.x = –9 C.x = 4 D.x = 9**A.x = 4; B.x = –4;**C.x = –3; D.x = 3; Let’s try together Graph using the x and y intercepts.**What type of line would have no solution?**So which line has no solution, y=3 or x=5? Explian your conclusion with your neighbor**Come up with a line of your own that has no solution?**Hmmm….**Example 3**FUNDRAISING Kendra’s class is selling greeting cards to raise money for new soccer equipment. They paid $115 for the cards, and they are selling each card for $1.75. The function y = 1.75x – 115 represents their profit y for selling x greeting cards. Find the zero of this function. Describe what this value means in this context. The graph appears to intersect the x-axis at about 65. So…? That means what?**Example 3**Estimate by Graphing y = 1.75x – 115 Original equation 0 = 1.75x – 115 Replace y with 0. 115 = 1.75x Add 115 to each side. 65.71 ≈ x Divide each side by 1.75. Answer: The zero of this function is about 65.71. Since part of a greeting card cannot be sold, they must sell 66 greeting cards to make a profit.**Homework**3-2 Worksheet

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