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Warm Up Solve for y when x = 0. 1.y = 8x – 2 2.6x + y = 2 3.2x – 3y + 6 = 0 4.4x – 2y = 1 5.-7x – 14y -5 = 0.

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Presentation on theme: "Warm Up Solve for y when x = 0. 1.y = 8x – 2 2.6x + y = 2 3.2x – 3y + 6 = 0 4.4x – 2y = 1 5.-7x – 14y -5 = 0."— Presentation transcript:

1 Warm Up Solve for y when x = 0. 1.y = 8x – 2 2.6x + y = 2 3.2x – 3y + 6 = 0 4.4x – 2y = 1 5.-7x – 14y -5 = 0

2 Advanced Algebra Trigonometry Appendix B Objective: SWBAT graph equations by using the x and y- intercepts and point plotting.

3 Linear Equations A linear equation in slope intercept form has the form: y = mx + b (x, y) = a solution of the equation (an ordered pair) m = slope (steepness of a line) b = y-intercept * The graph of a linear equation is a line*

4 x-intercepts and y-intercepts x-intercept: Where the line crosses the x-axis. (x, 0). To find the x-intercept, plug in zero for y and solve. y-intercept: Where the line crosses the y-axis. (0, y). To find the y-intercept, plug in zero for x and solve.

5 Linear Equations Find four solutions for the following linear equations. Then graph the equation. 1. y = 2. y = 4x – 1

6 x-intercepts and y-intercepts Find the x and y-intercepts of the following equations: 1. 4x – 5y = 20 2. -6x + 8y = -36

7 How to Graph an Equation 1. Isolate (get alone) one of the variables if possible (usually y) 2. Find the x and y intercepts by plugging 0 in for y and then for x like we did on the previous screen (sometimes easier to do this before you isolate a variable) 3. Make a table of values choosing four x values and find corresponding y values (if you isolated x then choose some y values and find corresponding x values) 4. Plot these points and join in a smooth curve or line

8 Linear Equations Graph the linear eqution: 1. 3 + y = -2x

9 x 2 + y 2 = r 2 Find the x and y-intercepts of: x 2 + y 2 = 9 Graph the equation. What does it make?

10 Homework Page 447-449 # 21, 22, 23 and 43-46 (all)


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