In , the vertices are , and…

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

In △ABC\triangle ABC, the vertices are A(1,2)A(1,2), B(7,−4)B(7,-4) and C(−3,6)C(-3,6). (i) Find the coordinates of the midpoint MM of side BCBC. (ii) Hence obtain the equation of the median through vertex AA in both point–slope form and slope–intercept form. (iii) Determine the yy-intercept of this median and comment on whether the median passes above or below the origin.

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