Can you find the pattern?. 3-2 Solving by Graphing Objective: to find the root/solution/zero of a linear equation by graphing.

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Presentation transcript:

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 B. Solve MethodSolve by graphing. Using the x and y intercepts.

Example 1 B Answer: So, the solution is –3. The graph intersects the x-axis at –3.

TOO A.x = –4 B.x = –9 C.x = 4 D.x = 9 Solve for the solution to the linear equation.

Let’s try together A.x = 4;B.x = –4; C.x = –3;D.x = 3; Graph using the x and y intercepts.

What type of line would have no solution?

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.

Example 3 Estimate by Graphing Answer: The zero of this function is about Since part of a greeting card cannot be sold, they must sell 66 greeting cards to make a profit. 0 = 1.75x – 115Replace y with 0. y = 1.75x – 115Original equation 115 = 1.75xAdd 115 to each side ≈ xDivide each side by 1.75.

Homework 3-2 Worksheet