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1. Refer to the equation 2x - 4y = 12
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line

Respuesta :

The coordinate pair can be obtained from the given equation by

rearranging the equation to make y the subject of the equation

  • The table of values obtained from the given equation is presented as follows;
  • [tex]\begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right][/tex]

  • The graph showing the points in the above table is attached

Reason:

The given equation is presented as follows;

2·x - 4·y = 12

(a) The values are found by making either x, or y the subject of the

formula, and inputting values as follows;

2·x - 4·y = 12

= 4·y

4·y = 2·x - 12

[tex]\dfrac{4\cdot y}{4} = \dfrac{2 \cdot x - 12}{4}[/tex]

The rearranged equation is therefore

  • [tex]y = \dfrac{x }{2} - 3[/tex]

Plugging in values of x, (0, 1, 2, 3) to find the corresponding y-values gives;

x = 0

  • [tex]y = \dfrac{0 }{2} - 3 = -3[/tex]

  • x = 1
  • [tex]y = \dfrac{1 }{2} - 3 = -2 \dfrac{1 }{2}[/tex]

  • x = 2
  • [tex]y = \dfrac{2 }{2} - 3 = -2[/tex]

x = 3

  • [tex]y = \dfrac{3}{2} - 3 = -\dfrac{3}{2} = -1.5[/tex]

x = 4

  • [tex]y = \dfrac{4}{2} - 3 = -1[/tex]

The table of values is therefore;

[tex]\begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right][/tex]

The graph of the points can be plotted using MS Excel as presented here

Learn more here:

https://brainly.com/question/7221077

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