Answer:
(-5,5)
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on a coordinate plane ,
coordinate of midpoint is given by (x1+x2)/2, (y1+y2)/2
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In the problem
point A(-7,-7)
let point B be (x,y) thus
midpoint point M for AB will be (-7+x)/2, (-7+y)/2
It is given that M is(-6,-1)
hence (-7+x)/2, (-7+y)/2 will be same as (-6,-1)
Thus,
(-7+x)/2 = -6 and (-7+y)/2 = -1
=> -7+x = -6*2 => -7+y = -1*2
=> -7+x = -12 => -7+y = -2
=> x = -12+7 => y = -2+7
=> x = -5 => y = 5
Thus, coordinates of point B is (x,y) = (-5,5)
