Math Challenges

Submissions for Problem #31

Problem #31

1) Find the equation of a straight line passing through points (3, 6) and (6, 8).
2) Find the equation of a line perpendicular to the previous line, passing through (6, 8).

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zapwai

Solution: \( \displaylines{1)\text{ }m=\frac{8-6}{6-3}=\frac23\Rightarrow y-8=\frac23\left(x-6\right)\\ y=\frac23x+4\\ \\ 2)\text{ }m_2=-\frac{1}{\left(\frac23\right)}=-\frac32\Rightarrow y-8=-\frac32\left(x-6\right)\\ y=-\frac32x+17} \)