the slope of the line joining the points.(2,k-3) and (4,-7) is 3. the value of K Will
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equation of line joining two points
![y2 - y1 = m(x2 - x1) \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 7 - k + 3}{4 - 2} \\ 3 = \frac{ - 4 + k}{2} \\ - 4 + k = 6 \\ k = 6 + 4 \\ k = 10 y2 - y1 = m(x2 - x1) \\ m = \frac{y2 - y1}{x2 - x1} = \frac{ - 7 - k + 3}{4 - 2} \\ 3 = \frac{ - 4 + k}{2} \\ - 4 + k = 6 \\ k = 6 + 4 \\ k = 10](https://tex.z-dn.net/?f=y2+-+y1+%3D+m%28x2+-+x1%29++%5C%5C+m+%3D++%5Cfrac%7By2+-+y1%7D%7Bx2+-+x1%7D++%3D++%5Cfrac%7B+-+7+-+k+%2B+3%7D%7B4+-+2%7D++%5C%5C+3+%3D++%5Cfrac%7B+-+4+%2B+k%7D%7B2%7D++%5C%5C++-+4+%2B+k+%3D+6+%5C%5C+k+%3D+6+%2B+4+%5C%5C+k+%3D+10)
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