Asked by Hannah
Write the equation of the family of lines with slope -1/2 and find the two members of the family 5 units away from the origin.
Answers
Answered by
oobleck
Let our two lines be y = -1/2 x ± k
The line y=2x is perpendicular to the given family of lines.
Suppose y=2x meets y = -1/2 x + k at (a,b).
Since b=2a, and a^2+b^2=25, find the intersection of the lines (solve for k) and now your lines are identified.
The line y=2x is perpendicular to the given family of lines.
Suppose y=2x meets y = -1/2 x + k at (a,b).
Since b=2a, and a^2+b^2=25, find the intersection of the lines (solve for k) and now your lines are identified.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.