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3-5 LINES IN THE COORDINATE PLANE M11.B.22.3.11.A OBJECTIVES: 1)TO GRAPH LINES GIVEN THEIR EQUATIONS 2) TO WRITE EQUATIONS OF LINES.

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Presentation on theme: "3-5 LINES IN THE COORDINATE PLANE M11.B.22.3.11.A OBJECTIVES: 1)TO GRAPH LINES GIVEN THEIR EQUATIONS 2) TO WRITE EQUATIONS OF LINES."— Presentation transcript:

1 3-5 LINES IN THE COORDINATE PLANE M11.B A OBJECTIVES: 1)TO GRAPH LINES GIVEN THEIR EQUATIONS 2) TO WRITE EQUATIONS OF LINES

2 Vocabulary  The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.  Example: Y = 2x + 3 Y = 2x – 1 Y = 2x – 4

3 Example: Graph Lines in Slope- Intercept Form  y = -2x + 4  y = ½ x -3  y = ¾ x

4 Vocabulary  Standard Form of a Linear Equation – is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero.  Example: Find A, B and C. -3x + 2y = 12

5 Example: Graphing Lines Using Intercepts  Use the x and y intercept to graph 4x – 6y =24  “Hide and Divide”

6 Example: Graphing Lines Using Intercepts  Graph -2x + 4y = -8  Graph 5x – 6y = 30

7 Example: Transforming from Standard Form to Slope-Intercept Form  Graph -6x + 3y = 12

8 Graph using Slope-Intercept Form  -5x + y = -3  -6x – 3y = 12

9 Vocabulary  Point – Slope form – used for a nonvertical line through point (x ₁, y₁) where m = slope. y – y₁ = m( x – x₁)

10 Example: Using Point – Slope Form  Write an equation of the line through point (3, 6) and with a slope of -8.

11 Using Point-Slope Form  Example: Write an equation of the line with slope -1 that contains point P(2, -4)

12 Slope Formula  Given two points: (x 1, y 1 ) and (x 2, y 2 ) m = y 2 – y 1 x 2 – x 1 Example: Find the slope of (3, -2) and (-5, 6)

13 Example: Equation of a Line Given Two Points  Write an equation of the line through points G( 4, -9 ) and H( -1, 1).

14 Equation of a Line Given Two Points  Write an equation of the line that contains the points P(5, 0) and Q(7, -3).

15 Slopes of Special Lines  What is the slope of a horizontal line and a vertical line?

16 Example: Equation of Horizontal & Vertical Lines  Write equations for the horizontal line and the vertical line that contains P(3, 2).

17 Equations of Horizontal and Vertical Lines  Write equations of the horizontal and vertical lines that contain the point P(5, -1)


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