Confusing Bonus Question
1 Answer
Yes, Quadrant I provides the entire solution set for this question. Indeed for any given $c$, if we let $x=a$ and $y=b$, then $a+b=c^2$, translates to
\[x+y=c^2 \Rightarrow y=-x+c^2\]
which is a line with slope $m=-1$, and $x$-intercept and $y$-intercept are both $c^2$.
For example for $c=5$ you get
\[y=-x+25\]
which is the question of the red line in the image.
Savionf
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