if point (x,y) is the midpoint of the line segment joining the points (3,4) and (k,7) and 2x+2y+1=0 find the value of k
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Step-by-step explanation:
(3,4)
2x+2y+1=0
put x=3,y=4
2×3+2×4+1=0
6+8+1=0
6+9=0
15=0
(k,7)
2x+2y+1=0
put x=k,y=7
2×k+2×7+1=0
2k+14+1=0. (linear equation)
2k+15=0
2k= -15
k= -15/2
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