Answer :

Solution

For this case we need to have the same slope and we can find it from the original equation and we got:

4y = 8+2x

y = 2 +1/2x

So then the slope is :

[tex]m=\frac{1}{2}[/tex]

We need to have the same slope and we can do the following:

[tex]-1=\frac{1}{2}(-5)+b[/tex]

And solving for b we got:

[tex]b=-1+\frac{5}{2}=\frac{3}{2}[/tex]

And then the equation would be given by:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

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