1. Splash Screen

2. Then/Now You represented relationships among quantities using equations. (Lesson 2–1) Graph linear equations. Identify linear equations, intercepts, and zeros.

3. Vocabulary linear equation standard form constant x-intercept y-intercept

4. Concept

5. B. Write the equation in standard form. Identify Linear Equations

6. »ACTIVITY 5 = 3y + 9x 1.Box the three terms 2.Label each term as x, y, or constant 3.Get the x term to the left of the = 4.Get the y term to the left of the = 5.Get the constant term to the right of the = 6.Is A positive – multiply both sides by negative 1 if not 7.Are A, B, and C integers – multiply by the denominator if not

7. »ACTIVITY ½ = -2x + 5y 1.Box the three terms 2.Label each term as x, y, or constant 3.Get the x term to the left of the = 4.Get the y term to the left of the = 5.Get the constant term to the right of the = 6.Is A positive – multiply both sides by negative 1 if not 7.Are A, B, and C integers – multiply by the denominator if not

8. A.A B.B C.C D.D Example 1 CYP A A. Determine whether y = 4x – 5 is a linear equation. Write the equation in standard form. A.linear equation; y = 4x – 5 B.not a linear equation C.linear equation; 4x – y = 5 D.linear equation; 4x + y = 5

9. A.A B.B C.C D.D Example 1 CYP B B. Determine whether 8y –xy = 7 is a linear equation. Write the equation in standard form. A.not a linear equation B.linear equation; 8y – xy = 7 C.linear equation; 8y = 7 + xy D.linear equation; 8y – 7 = xy

10. Intercepts X - intercept X - intercept – »where a line hits/crosses the x-axis, »where the y-coordinate is 0: (13, 0) or (-2, 0) Y - intercept Y - intercept – »where a line hits/crosses the y-axis, »where the x-coordinate is 0: (0, 10) or (0, -13)

11. Graph 5x – 1y = 10 using intercepts. x-intercept y-intercept

13. A.A B.B C.C D.D Example 2 CYP A Find the x- and y-intercepts of the graphed segment. A.x-intercept is 10; y-intercept is 250 B.x-intercept is 10; y-intercept is 10 C.x-intercept is 250; y-intercept is 10 D.x-intercept is 5; y-intercept is 10

14. A.A B.B C.C D.D Example 3 CYP A ANALYZE TABLES Jules has a food card for Disney World. The table shows the function relating the amount of money on the card and the number of times he has stopped to purchase food. A. Determine the x- and y-intercepts of the graph of the function. A. x-intercept is 5; y-intercept is 125 B. x-intercept is 5; y-intercept is 5 C. x-intercept is 125; y-intercept is 5 D. x-intercept is 5; y-intercept is 10

15. Graph by Using Intercepts Graph 4x – y = 4 using the x-intercept and the y-intercept.

17. Example 4 CYP Is this the correct graph for 2x + 5y = 10? A.A B.B A.yes B.no

18. Graph by: table –Creating a table of at least 5 values mapping –Creating a mapping of those 5 points –Plotting –Plotting the 5 points and sketch the line, with end arrows. 3x – y = -2

19. End of the Lesson