Does the points \(M(3,4)\), \(A(0,0)\) and \(G(6,10)\) on the same straight line? Suggest a method to check this without plotting and joining the points.
Answer:
We can verify whether the points \(M\), \(A\) and \(G\) lie on the straight line using .
\(MA =\) units
\(AG =\) units
\(MG =\) units
Thus, .
Therefore, the points \(M\), \(A\) and \(G\) on the straight line.
(Note: Round off the answer to \(3\) decimal places if necessary.)