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Algebra II by: Mr. Pol Ogrimen Jr.

Algebra II by: Mr. Pol Ogrimen Jr. y-axis or ordinate. Cartesian Plane or Rectangular Coordinate Plane. . P(x , y) Coordinates of a point. x-axis or abscissa. origin. Plotting Points. I. Plot the ff. Ordered pairs or points (-4 , 4) (2 , 3) (0 , 2) (5 , 1) (4 , 0).

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Algebra II by: Mr. Pol Ogrimen Jr.

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  1. Algebra IIby: Mr. Pol Ogrimen Jr.

  2. y-axis or ordinate Cartesian Plane or Rectangular Coordinate Plane .P(x , y) Coordinates of a point x-axis or abscissa origin

  3. Plotting Points • I. Plot the ff. Ordered pairs or points • (-4 , 4) • (2 , 3) • (0 , 2) • (5 , 1) • (4 , 0) II. Determine the coordinates of the ff. ordered pairs or points A, B, C, D * 1) * 2) * 3) * 4) * 5) * D A. (1 , -4) B. (-2 , -2.5) C. (0 , -5) D. (4 , -1) * B * A * C

  4. Linear Equation in two Variables y-axis ax + by + c =0: General form ax + by = c : Standard form where x and y are the variable while a, b, and c are elements of real numbers x-axis • Examples: • 1) 2x + 5y + 10 = 0 • 2x + 5y = – 10 • 4x – y – 6 = 0 • x – 3y = – 12

  5. y-axis Graphing a linear equation in two variables A. Assign any values for x and solve for y. Example1) x + 2y = 4 in standard form x-axis 1 3 4

  6. y-axis Graphing a linear equation in two variables * * 2 x-axis 4 B. Apply the x and y – intercept: Let x=0 and solve for y; Let y=0 then solve for x.

  7. y-axis Graphing a linear equation in two variables * C. Write the slope-intercept form, y=mx+b. Example1) x + 2y = 4 * x + 2y = 4 2y = -x + 4 x-axis 1st. Locate the y-int. = 2 2nd. Trace the slope = m

  8. y-axis Graphing a linear equation in two variables C. Write the slope-intercept form, y=mx+b. Example2) x – 4y – 8 = 0 * x-axis – 4y = – x + 8 * 1st. Locate the y-int. = – 2 2nd. Trace the slope = m

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