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  3. Which of the following could be the equation of line l in the figure above?

Which of the following could be the equation of line l in the figure above?

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问题 Which of the following could be the equation of line l in the figure above?
选项 A、2x=3y-2
B、2x=3y-6
C、3x=2y-6
D、 
E、 
答案B
解析 Since none of the answer choices are actually in the recognized form for an equation of a line, the best thing in this case is to figure out what the equation of the original line is in y=mx+b form, and then figure out which of the answer choices can be manipulated to form that same equation. This line crosses the y axis at 2, so the y-intercept is 2 and our equation becomes y=mx+2. Now we need to figure out the slope. Since the point goes through (0, 2) and (3, 4), the slope is 2/3. The equation we’re looking for is now If we manipulate the equations in the answer choices so that the y always has a coefficient of 1 and everything is on the correct side of the equal sign, B is the only correct answer.
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