In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x - 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scal
e. x=8, y = 5 x = 4, y = 6 x=6, y = 4 x = 5, y = 8
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So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.
Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.