UPSKILL MATH PLUS

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1. The line \(r\) passes through the points \((-2,2)\) and \((5,8)\) and the line \(s\) passes through the points \((-8,7)\) and \((-2,0)\). Is the line \(r\) perpendicular to \(s\)?
 
Answer:
 
The line \(r\) is  to the line \(s\).
 
2. The line \(p\) passes through the points \((3,-2)\), \((12,4)\) and the line \(q\) passes through the points \((6,-2)\) and \((12,2)\). Is \(p\) parallel to \(q\)?
 
Answer:
 
The line \(p\) is  to the line \(q\).
 
3. Show that the points \((-2,5)\), \((6,-1)\) and \((2,2)\) are collinear.
 
Answer:
 
Slope of \(AB =\) ii.
 
Slope of \(BC =\) ii.
 
Therefore, the points \(A\), \(B\) and \(C\) are
 
(Note: Insert negative sign if necessary in the numerator itself.)