Algebra ii by mr pol ogrimen jr
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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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Algebra ii by mr pol ogrimen jr

Algebra IIby: 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


Algebra ii by mr pol ogrimen jr

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


Algebra ii by mr pol ogrimen jr

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


Algebra ii by mr pol ogrimen jr

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


Algebra ii by mr pol ogrimen jr

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.


Algebra ii by mr pol ogrimen jr

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


Algebra ii by mr pol ogrimen jr

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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