Answer :
the line equation we want is parallel to x+2y=7, which means they have the same slope. Rewritting this function in the slope form
[tex]x+2y=7\Leftrightarrow y=-\frac{x}{2}+\frac{7}{2}[/tex]The slope of our equation is (-1/2)!
Now, we just need to substitute the point to find the intercept.
[tex]\begin{gathered} y=-\frac{x}{2}+b \\ 6=-\frac{(-1)}{2}+b\Rightarrow b=\frac{11}{2} \end{gathered}[/tex]Now we have the slope and the intercept. Solving item (a) and writing this function in slope-intercept form gives us
[tex]y=-\frac{x}{2}+\frac{11}{2}[/tex]The standard form is:
[tex]Ax+By=C[/tex]Rewriting our function like this, we get:
[tex]x+2y=11[/tex]and this is the answer to item b.