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  3. What is the equation of a line perpendicular to 3x=2-y with the y-intercept 8?

What is the equation of a line perpendicular to 3x=2-y with the y-intercept 8?

游客2025-02-24  29
问题 What is the equation of a line perpendicular to 3x=2-y with the y-intercept 8?
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答案  First, rearrange the equation into slope-intercept form, by subtracting 3x and-y from both sides:
   y=-3x+2
   For two lines to be perpendicular, their slopes must be negative reciprocals. The negative reciprocal of-3 is 1/3. The problem also states that the perpendicular line has a y-intercept of 8. If you substitute 1/3 for m and 8 for b in the standard equation, you get[*]
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