Sketching+Linear+Graphs

=Sketching Linear Graphs= = =

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Method 1[[image:SCREEN01.JPG align="right" caption="Method 1"]]
By using a table of points we can begin to sketch linear graphs for this table we used this expression Y=3X-5 3X-4 -12= -12 -5 == -17= || X 0 3X0 0= 0 -5 == -5= || X 4 3X4 12=12 -5 == 7= ||
 * X || -4 || 0 || 4 ||
 * Y || -17 || -5 || 7 ||
 * X = -4
 * Plot the points on a Cartesian Plane then draw a line to connect the dots*

[[image:2.JPG align="right" caption="Method 2"]]
Using a slope and a Y intercept Y=2X -3 2X = Slope, -3 = Y Intercept

- Horizontal line has a slope of 0 - Vertical line has an undefined slope
 * Info For Linear Graphs**

**Method 3[[image:3.JPG align="right" caption="Method 3"]]**
Using X and Y intercepts 3X +5Y=15

Finding the Y intercept, X = 0 3(0) +5Y = 15 5Y/5 = 15/5 Y=3

(0,3)

Finding X intercept, Y= 0 3X+5(0) = 15 3X/3 = 15/3 X=5

(5,0)

Plot the results onto a Cartesian Plane.

PowerPoint
Contained in the PowerPoint below is an example of the processes in Sketching a Linear Equation would be.
 * note that the final line in the example is not made to be exact just an estimate*



Other Examples - From Internet
From the "Year 8 Interactive Maths - Second Edition" website it tells us that a way to Sketch Linear Graphs by "It is convenient to find the points where a graph cuts the **axes**. The points where a graph cuts the //x//-axis and //y//-axis are called the **//x//-intercept** and **//y//-intercept** respectively."



