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Answer:
[tex]\dfrac{\boxed{c}}{a+b}[/tex]
Step-by-step explanation:
Using the given slope formula with points A and C, you find the slope to be ...
[tex]\text{slope of $\overline{\text{AC}}$}=\dfrac{c-0}{(a+b)-0}=\boxed{\dfrac{c}{a+b}}[/tex]
The value in the numerator box will be c. The value in the denominator box will be a.