What is the equation of a line parallel to y=4x-12 that crosses the y-axis at 3?

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问题 What is the equation of a line parallel to y=4x-12 that crosses the y-axis at 3?

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答案 For two lines to be parallel, their slopes must be equal; therefore, in the standard equation y=mx+b, m=4. You are given that the line crosses the y-axis at 3, so the y-intercept (b) must be 3. If you substitute 4 for m and 3 for b in the standard equation, you get y=4x+3.

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