Engineering Board Exam Reviewer · Equations of Lines · hard
What is the equation of the line passing through (-2,6) with the x-intercept half the y-intercept?
- x-y=6
- 2x+2y+2=0
- 3x-y+2=0
- 2x+y-2=0
Answer
D. 2x+y-2=0
Solution
Let the x-intercept be a and the y-intercept be 2a (twice the x-intercept). Using intercept form x/a+y/2a=1 and substituting (-2,6) gives a=1, so the line is 2x+y=2.
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