Express the following linear equations in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:$y = \frac{x}{2}$

Given: 

$y = \frac{x}{2}$

To do: 

We have to express the given linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$.

Solution:

$y = \frac{x}{2}$

$\Rightarrow 2(y)=2(\frac{x}{2})$

$\Rightarrow 2y=x$

$\Rightarrow x-2y+0=0$

Comparing it with $ax+by+c=0$, we get,

$a= 1, b = -2$ and $c = 0$.

The values of $a, b$ and $c$ are $1, -2$ and $0$ respectively.       

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Updated on: 10-Oct-2022

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