Lofton-Haynes

=__// Lofton-Haynes // __= =McKenzie S., Sarah M., Ashley M., Kaley D. = = = =Get ready to learn because it's time for....= **GRAPHING WITH TABLES!**


 * Three Point Method **

Have you ever sat and wondered to yourself "What //is// the three point method to graph linear equations using a data table?" Well unless you would like to continue wondering, take a look at the steps below.

__Example 1:__ Graph 2x-2y= -6

To graph the equation 2x-2y= -6, you need to put it into the form y=mx+b.(point slope form)

2x-2y= -6 2x -2x-2y= -6-2x __-2y= -2x-6__ -2y/-2= -2x/-2-6/-2 y= x+3

__** Remember!! **__ The slope is always the number next to X.

Step 1: Choose two values and substitute them for X to find the corresponding Y coordinates.
 * X || y = x+3 || ** (x,y) ** ||
 * 0 || y=0+3 || (0,3) ||
 * 1 || y=1+3 || (1,4) ||

Step 2: Plot all the data points and connect with a line. If graphing for time, or sometimes with money, you would need to put points at where the graph ends, YOU CAN'T HAVE NEGATIVE TIME!! But in this case the line would continue on with this slope.



Stpe 3 : To check, pick a third value for X and Y and graph them. The point should be on the line. For example plug in -3 for the equation y=x+3. You would come out with (-3,0) and as you can see, that point is on the graph above.

=// For more information on the three point method check out the video below. // =

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===This link has very good examples on how to graph linear equations using tables:[] === ===This link has a quick self-explanatory video on how to graph using tables: [] or [] === ===This site [|**www.wonderhowto.com**] <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;"> has many other videos on all math related subjects. ===
 * <span style="font-family: 'Arial Black',Gadget,sans-serif;">__ Check out these links for more information on how to graph using tables __ **
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">This link will teach you how to graph equations using data tables, how to make those tables, and how to make graphs using the tables: **<span style="font-family: 'Comic Sans MS',cursive; font-size: 110%;">[|**CLICK ON ME**]

<span style="display: block; font-family: 'Arial Black',Gadget,sans-serif; font-size: 160%; text-align: center;">__ V o c a b u l a r y  __ = = ~ coordinate plane: A graph formed by two intersecting number lines. ~ coordinates: The numbers that identify the location of a point ~ direct variation: A function that can be expressed in the form y=kx, where k does not equal 0 ~ function: A relation with exactly one value of the dependent variable for each value of the independent variable ~ function notation: When you use f(x) to indicate outputs ~ function rule: An equation that describes a function ~ linear equation: A graph where the ponts form a line ~ linear function: A function that graphs a line ~ linear parent function: A equation in the form of y=x of f(x)=s ~ negative reciprocal: If one number is in this form then the products of the two numbers is -1 ~ origin: The point at which the axes of the coordinate plane intersect ~ parallel lines: Two lines with the same slope, in the same plane, that never intercept ~ parent function: The simples equation of a function ~ perpendicular lines: Two lines that intersect to make four right angles, the produce of the two slopes must equal -1 ~ point slope form: The form of standard slope; y-2=3(x-5) ~ quadrants: The four sections that the coordinate plane is divided into ~ range: The second set of coordinates in a relation ~ relation: A set of ordered pairs ~ slope: The ratio of the vertical change to the horizontal change ~ slope intercept form: The form of a linear equation; y=mx+b ~ standard form: The initial set up of a linear equation; Ax+By=C, where A, B, and C are real numbers, and neither A or B is zero ~ vertical line test: The quickest way to tell if a relation is a function ~ x-axis: The horizontal axis of the coordinate plane ~ x-coordinate: The first number in an ordered pair ~ x intercept: The x-coordinate of the point at which the graph of a line crosses the horizontal axis ~ y-axis: The vertical axis of the coodinate plane ~ y-coordinate: Shows how far you need to move up or down from the origin on a coordinate plane**
 * ~ conjecture: A conclucion based on inductive reasoning
 * ~ y-intercept: The y-coordinate of the point at which the graph of a line crosses the vertical axis**


 * //__ Equations For Your Math Needs __//**


 * **Direct variation: y=kx where k does not equal 0**
 * **Indirect variation: xy=k**
 * **Linear parent function: y=x, or f(x)=s**
 * **Slope intercept form: y=mx+b**
 * **Standard form: Ax+By=C, where A, B, and C are real numbers, and neither A or B is zero**

**__ Here are some more examples of how to graph using data tables __**



<span style="color: #34c5c5; display: block; font-family: Georgia,serif; font-size: 140%; text-align: left;">Example #3