What is the value of k that makes each equation true. For example, 5(ky-6)=15y-30
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Supposse that the distance from the point to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have
cancel the square root and the 's, and then expand the parenthesis to obtain
then, simplifying we obtain
therfore we must have
this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.