The rectangle shown has a perimeter of 16 inches
a. write an equation describing the possible values of x and y
b. use intercepts to graph the equation from part a
c. give three pairs of whole-number values of x and y that could represent side lengths of the rectangle
d. does either the x-intercept or the y-intercept represent a possible side length of the rectangle? explain

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We let x and y be the dimensions of the rectangle such that its perimeter will be twice the sum of the dimensions.
                         P = 16 = 2(x + y)
Three pairs of the side lengths
                             x  = 1 and y = 7
                             x = 2 and y = 6
                              x = 3 and y = 5
The x-intercept and the y-intercept will not represent a possible combination of the lengths of the sides because of the values of either lengths being 0.