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Warm Up

Warm Up. Solve for y when x = 0. y = 8x – 2 6x + y = 2 2x – 3y + 6 = 0 4x – 2y = 1 -7x – 14y -5 = 0 . Advanced Algebra Trigonometry Appendix B. Objective: SWBAT graph equations by using the x and y-intercepts and point plotting. . Linear Equations.

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Warm Up

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  1. Warm Up Solve for y when x = 0. y = 8x – 2 6x + y = 2 2x – 3y + 6 = 0 4x – 2y = 1 -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 Isolate (get alone) one of the variables if possible (usually y) 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) 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) Plot these points and join in a smooth curve or line

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

  9. x2 + y2 = r2 Find the x and y-intercepts of: x2 + y2 = 9 Graph the equation. What does it make?

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

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