Perpendicular lines have slopes that are negatiive reciprocals.
Ravine has a slope of -2/7
So, perpendicular line would have slope of 7/2
Hence, equation will be:
[tex]y=\frac{7}{2}x+b[/tex]
We need a point, it is P, which is (0.0).
We substitute and find b:
[tex]\begin{gathered} y=\frac{7}{2}x+b \\ 0=\frac{7}{2}(0)+b \\ 0=0+b \\ b=0 \end{gathered}[/tex]
Hence, final equation:
[tex]y=\frac{7}{2}x[/tex]
