Find the constant of variation k for the inverse variatio. Then write an equation for the inverse variation y=5 x=7.5
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So before we can decide which graph it is, we have to find the zeros (x-intercepts) of this graph. We can do this by setting y to 0.
Firstly, factor out 3x on the right side of the equation:
Next, use the zero product property to solve y = 0:
So we know that the zeros of this equation are (4,0) and (0,0). Looking at the four graphs, the only graph that has a line crossing those 2 points is the first graph. Therefore, the graph of this equation is the first graph.