linear Equation

Using GRAPHER, find out what kind of GRAPH will represent each of these EQUATIONS. Note, in this instance, you’ll only need to enter the Land Hand Side, LHS of each of these EQUATIONS to plot it’s graph.








What kind(s) of graphs are portrayed through these equations?


What kind(s) of graphs are portrayed through these equations?

[look at the points where the line meets the vertical or horizontal lines]

reference Straight line (linear) graphs 1

20 comments:

  1. All the graphs are straight line graphs

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  2. if the unknown x is negative, it will go from from the right to left. If the unknown x is positive, it will go from left to right. the value will determine the cut on the y axis.

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  3. The positive and negative values change the direction of the line moving.

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  4. All the graphs are straight line graph. The value of the constants and variables used determines the direction of the line on the graph.

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  5. At this point in time I understand that the graph correctly shows where the number is but it does not show x correctly.

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  6. I think that only the positive answer lines will be on a line down from the right to left.While the negative answer will have a line from the left to right.

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  7. When the expression infront, eg. 2x+6, is positive, the gradient is like this /. When the expression infront is negative, the gradient would be like this \. The line would cut off according to the constant.

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  8. 2x+5. The line will cut through 5 but what about the 2x? Then what about fractions too? :D

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  9. They are all straight line graphs.
    When x is positive, the graph will slant /.
    When x is negative, the graph will slant \.
    The constant in the equation will be where the line intercepts the y axis.

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  10. I am confused by how the equation is linked to the graph

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  11. If the equation is a negative equation, the graph would go from left to right. If the equation is a positive equation, the graph would go from right to left. The number that cuts through the y axis is determined by the number that they added or subtracted.

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  12. I am still not sure about how the graph works, all I know is that it is something like a number line with positive and negative integers.

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  13. For the Grapher, with a term (eg, 2x) it will go opposite thew grapher. Like the positive side is at the right, so the slope will be slanting towards the left. And when the term is -2x, it will slant towards the right. For the constant, (eg 6) then the Line will CROSS through the vertical line with the number 6, when it is -6, it'll be crossing through the -6 side of the vertical line.

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  14. The graphs are usually like in a gradient form from the top to the bottom or left to right. The vertical line in the middle is to measure the Y axis, with the line going to the top from the middle as positive while the line going to the bottom from the middle. The X axis is the same as Y axis just that the line is horizontal. When an equation is put in the text, the graph pattern will change.

    Example: y=2x+6

    The graph will form a gradient from the top to the bottom diagonally. The intersection of the Y axis would be positive 6. By using this tool, we could find out how the things will move that will affect the equation and physics. Many patterns can be formed like using "tan" or "sin" with a variable behind.

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  15. I see two patterns. To plot a graph, the constant will plot one mark one the y axis. For the x value, if it is 2x which is 2/1 x take the denominator move along the x axis from the constant mark, take the numerator and move up that way. Connect the line to plot the graph.

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  16. All the Graphs portrayed are all straight line graphs and they cut through the side of the x axis is based according to the value of x. Whether if it is positive/negative.

    -JASPER

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  17. all graphs have positive and negative sides at the back of the x and the y, which most likely be the axises. and the graphs lines also are straighten a certain angle.

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  18. All the line graphs are straight and they intersect the x axis based on the value of x .

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  19. Hi 1-02,
    I read your observations with great interest.
    Most of you are able to draw parallel between equation and graphical representation. This is interesting considering we have not covered the topic on Graph yet (this will be taught in the next chapter).
    You have identified the following:
    .1 the slope of the graphs / or \ (this is known as gradient)
    .2 the point where the line meets the y-axis (this is the y-intercept)
    .3 the concept of angle
    .4 the relationship between x and f (also known as function.

    will follow this up with an activity on grapher or geogebra.

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