Question

If the graph of the linear equation $y=x$ passes through the point $(a,b)$, then $(\frac{a+3}{4},\frac{b+1}{2})$ is equal to

• A. $(\frac{3}{2},\frac{-3}{2})$
• B. $(0,\frac{3}{2})$
• C. $(1,1)$
• D. $(\frac{-1}{2},\frac{1}{2})$

Answer 1

The correct option is C $(1,1)$

All the points which have same $x$ co-ordinate and $y$ co-ordinate will lie on the linear equation $y=x$.
$\therefore$ As per the options, only option C satisfies this condition.
Hence, option C.