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Represent the lind equation to X + 6y is equal to 8 graphically?
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Represent the lind equation to X + 6y is equal to 8 graphically?


Graphical Representation of the Equation X + 6y = 8

To graphically represent the equation X + 6y = 8, we first need to rewrite it in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Rewrite the Equation

  • X + 6y = 8
  • 6y = -X + 8
  • y = -1/6X + 4/3


Step 2: Plot the Y-Intercept

  • The y-intercept is 4/3, which is where the line crosses the y-axis.
  • Plot a point at (0, 4/3) on the graph.


Step 3: Find Another Point

  • To find another point, we can choose any value for X and calculate the corresponding value for y.
  • For example, if we let X = 6, then y = -1/6(6) + 4/3 = 3/3 = 1.
  • Plot another point at (6, 1) on the graph.


Step 4: Draw the Line

  • Connect the two points with a straight line to represent the equation X + 6y = 8 graphically.
  • The line will have a negative slope and pass through the points (0, 4/3) and (6, 1).


Conclusion

By following these steps, you can graphically represent the equation X + 6y = 8. This visual representation helps in understanding the relationship between X and y values and how they interact on a graph.

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Represent the lind equation to X + 6y is equal to 8 graphically?
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