The graph of y = three over four x minus twelve is a linear function, specifically a line with a slope of three over four and a y-intercept of -12.
In comparison to the graph of y = one over x, which is a hyperbola with one branch in each quadrant, the linear function y = three over four x minus twelve is a straight line that will intersect the x and y axes at specific points. The hyperbola y = one over x will have a curve that approaches both the x and y axes but never actually touches them.
Overall, the linear function y = three over four x minus twelve will have a much simpler and more direct graph compared to the more complex and curved graph of y = one over x.
Note: For questions 17 and 18, your teacher will grade your response to ensure you receive proper credit for your answer.
Describe the graph of y = three over four x minus twelve as compared to the graph of y = one over x.
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