Question 470597
Picture a coordinate system. What is the value of x for any number on the y-axis.  Isn't it x = 0???
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So go to the given equation:
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6x+2y=60
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If the graph intercepts the y-axis, the point of interception has a value of x equal to zero. So substitute zero for x in the equation. When you do, the term 6x equals zero and the equation reduces to:
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2y = 60
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Solve for y by dividing both sides by 2 to get:
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y = 60/2 = 30
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So we know that the point of intercept on the y-axis is at (0,30) and that's the answer to this problem.
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Hope this helps you with your understanding of graphs and equations.