Cross-Multiply:
Divide by 3 on both sides:
Divide by x on both sides:
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Cross-Multiply:
Divide by 3 on both sides:
Divide by x on both sides:
Answer:
C(-3,3)
Step-by-step explanation:
Given
A = (7,-1)
B = (2,1)
AB:AC = 1:2
Required
Determine the coordinates of C
Since, B is between A and C; we need to determine ratio BC as follows;
Convert to division
<em>AC = AB + BC;</em>
Cross Multiply
Divide both sides by BC
Rewrite as
Write as ratio
Next is to determine the coordinates of C as follows;
Because B is between both points. we have:
Where
So; we're solving for x2 and y2
Where
Solving for x2;
Cross Multiply
Solving for y2;
Cross Multiply
<em>Hence, the coordinates of C are: C(-3,3)</em>