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Linear Relationships, SM-Bank 057

Verify that the points \((2\ ,\ 5)\) and \((-1 ,-1)\) lie on the line \(y=2x+1\)?  (3 marks)

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\(\text{Check points by substituting into }y=2x+1\)

\((2\ ,\ 5) \longrightarrow\) \(RHS\) \(=2\times 2+1\)
    \(=5\)
    \(=LHS\)

 

\((-1 ,-1) \longrightarrow\) \(RHS\) \(=2\times (-1)+1\)
    \(=-1\)
    \(=LHS\)

 
\(\therefore\ (2\ ,\ 5)\ \text{and }(-1 ,-1) \text{ both lie on the line}\ \ y=2x+1\)

Filed Under: Linear Relationships Tagged With: num-title-ct-core, smc-4216-25-Straight lines

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