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

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y = 4x + 3
解析 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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