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Algebra
/ Linear equations in two variables
Difficulty: Hard
What is the y-coordinate of the y-intercept of the graph of in the xy-plane?
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Explanation
The correct answer is . A y-intercept of a graph in the xy-plane is a point where the graph intersects the y-axis, which is a point with an x-coordinate of . Substituting for in the given equation yields , or . Subtracting from both sides of this equation yields . Multiplying both sides of this equation by yields . Dividing both sides of this equation by yields . Therefore, the y-coordinate of the y-intercept of the graph of the given equation in the xy-plane is . Note that 189/5 and 37.8 are examples of ways to enter a correct answer.