Draw the graph of each of the following linear equations in two variables.$ 2 y=-x+1 $

Given:

The given equation is \( 2 y=-x+1 \).

To do:

We have to draw the graph of the given linear equation in two variables.

Solution:

To represent the above equation graphically we need at least two solutions for the given equation.

For equation \( 2 y=-x+1 \),

$y=\frac{-x+1}{2}$

If $x=1$ then $y=\frac{-1+1}{2}=0$

If $x=-1$ then $y=\frac{-(-1)+1}{2}=\frac{2}{2}=1$

Plot the points $A(1, 0)$ and $B(-1, 1)$ on the graph and join them to get the graph of the given equation.

The above situation can be plotted graphically as below:

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Updated on: 10-Oct-2022

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