1 / 8

Understanding Graphical Relationships: Drawing and Plotting Straight Line Equations

By the end of this topic, you will be able to draw straight lines based on their equations in the form y = ax + b. You will learn how to create tables of values and plot points accurately on a coordinate grid. The lesson covers lines parallel to the x-axis and y-axis, identifying their equations. In addition, you'll practice drawing various straight line graphs, gaining essential skills in interpreting and constructing graphical relationships in mathematics.

ovidio
Télécharger la présentation

Understanding Graphical Relationships: Drawing and Plotting Straight Line Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphical Relationships By the end of this topic, you should be able to (a) Draw a straight line given its equation in the form y = ax + b by making a table of values

  2. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Plotting Points The points (1,3), (4,3) and (6,3) all lie on the line. A has coordinates (1,5) a y = 3 This is known as the equation of the line. b B has coordinate (3,2)

  3. Lines parallel to the x axis Lines parallel to the y axis y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Y = 8 Y = 4 Y = 2 Y = 0 Y = -3 Y = -8 x = 5 x = 9 x = - 4 x = - 7 x = 0

  4. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 Drawing Straight Line Graphs y = x y = 3x x y x y 0 0  0 0  3 3  6 2  -4 -4  -9 -3  y = 2x y = ½x x y x y 0 0  0 0  4 8  6 3  2 4  -8 -4  Use grid 1 to draw 4 graphs with me.

  5. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = x + 1 y = x + 5 x y x y 1 0  5 0  4 3  8 3  -3 -4  0 -5  y = x - 7 y = x + 2 x y x y -7 0  2 0  3 10  7 5  -3 4  -3 -5 

  6. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = 2x + 1 y = 3x – 4 x y x y 1 0  -4 0  7 3  8 4  -7 -4  -10 -2  y = ½x + 5 y = 2x - 5 x y x y 5 0  -5 0  9 8  7 6  1 -8  -9 -2 

  7. y 10 9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 y = -x y = -3x + 4 x y x y 0 0  4 0  -5 5  -8 4  6 -6  10 -2  y = -½x - 3 y = -2x x y x y -3 0  0 0  -7 8  -6 3  1 -8  10 -5 

  8. y Draw the following straight line graphs 10 9 • y = 2x + 3 • y = 3x – 5 • y = -x + 6 • y = -4 • x = 7 • Y = ½x –2 • Y = - 4x -9 8 7 6 5 4 3 2 1 x 0 -10 1 2 3 4 5 6 7 9 10 -9 -8 -6 -4 -3 -2 8 -7 -5 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

More Related