NumericalModerate3 marks
Find the equation of a line parallel to the line 2x + y – 7 = 0 and passing through the intersection of the lines x + y – 4 = 0 and 2x – y = 8.
Topic: Slope and equation of a line
Previous-year question practice database
Answer
Solution diagram
Exam answer
Required line: 2x + y − 8 = 0.
Explanation
Intersection of x+y−4=0 and 2x−y=8 gives (4,0). A parallel line to 2x+y−7=0 has form 2x+y+c=0; through (4,0) gives c=−8, so 2x+y−8=0.
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