Engineering Board Exam Reviewer · Equations of Lines · hard
Find the equation of the line through the intersection of x+y=4 and 2x-y=2 that is parallel to 3x-4y+1=0.
- 3 x - 4 y + 2 = 0
- 3 x - 4 y - 2 = 0
- 4 x + 3 y - 14 = 0
- 3 x - 4 y + 14 = 0
Answer
A. 3 x - 4 y + 2 = 0
Solution
Adding the two equations gives 3x=6, so the intersection is (2,2). A line parallel to 3x-4y+1=0 has the form 3x-4y+C=0; through (2,2): 6-8+C=0 C=2.
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