we can take out the slope of a line if we know the coordinates of two points in a plane
Here we have the two points\((-4,5) and (6,-1)\)
slope is given by \(\frac{y2 - y1}{x2 - x1}\)
slope = \(\frac{-1 - 5}{6- (-4)}\) = \(\frac{-3}{5}\)
Hence option A is correct

For two perpendicular lines there slope should multiply to \(-1\)
For one line we have a slope i.e already -ve so the slope of the second line cannot be negative or else they will multiply to a +ve number
Hence option B is incorrect

Also we know that line k passes through the midpoint of line L

Use the mid-point formula to get \(x = \frac{x1+x2}{2},y=\frac{y1+y2}{2}\)
\(\frac{-4 + 6}{2},\frac{5+ -1}{2}\)
This simplifies to \((1,2)\)
Hence option C is correct

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