UPSKILL MATH PLUS

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1. Find the equation of the straight line joining the point of intersection of \(3x + y + 2 = 0\) and \(x - 2y - 4 = 0\) to the point of intersection of \(7x - 3y = -12\) and \(2y = x + 3\).
 
Answer:
 
The equation of the straight line is .
 
2. \(A(-3,0)\), \(B(10,-2)\) and \(C(12,3)\) are the vertices of \(\triangle ABC\). Find the equation of the altitude through \(A\) and \(B\).
 
Answer:
 
The equation of the altitude of \(AD\) is .
 
The equation of the altitude of \(BE\) is .