Find the ratio in which the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3). Hence find the value of p.
please solve it full and send the solution in detail.

Dear Student,

Let the point -3,p divided the line segment joining the points (-5,-4) and (-2,3) in k:1 ratiothen, -3,p = -2k-5k+1, 3k-4k+1   .....using the formula kx2+x1k+1,ky2+y1k+1-3 = -2k-5k+1-3k+1 = -2k+5 3k+3 = 2k+5 k = 2So the ratio is 2:1p = 3k-4k+1 pk+1 = 3k-4 3p = 6-4  p = 23

Regards,

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