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What do the following two equations represent? \[y = \dfrac{4}{3}x \dfrac{5}{3}\] \[y-8 = \dfrac{4}{3}(x 6)\]

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Final answer:

The equations likely represent linear equations, which can be graphed using a table of values or by plotting and connecting two points on a line.

Step-by-step explanation:

The equations mentioned seem to contain typos, but typically, equations of the form y = mx + b represent linear equations, where m is the slope and b is the y-intercept. For example, y = 9 + 3x is a linear equation with a slope of 3 and a y-intercept of 9. To graph a linear equation, one can create a table of values by substituting various values of x into the equation to find corresponding values of y, or by plotting two points where the line passes through and drawing a straight line between them, extending it infinitely in both directions.

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