Maddie is reading a graph of equivalent ratios. One point on the graph is (4, 5). Maddie says (10, 8) is also on the graph. Is Maddie correct? Explain why or why not.

Equivalent ratios are ratios that can be simplified to the same value.Maddie's claim is incorrect.The points are given as:[tex]\mathbf{(x,y) =(4,5) (10,8)}[/tex]For a point (x,y); the ratio is calculated as:[tex]\mathbf{k = \frac yx}[/tex]For point (4,5), we have:[tex]\mathbf{k = \frac 54}[/tex][tex]\mathbf{k = 1.25}[/tex]For point (10,8), we have:[tex]\mathbf{k = \frac{8}{10}}[/tex][tex]\mathbf{k = 0.8}[/tex]By comparison:[tex]\mathbf{1.25 \ne 0.8}[/tex]Hence, Maddie's claim is incorrect.Read more about equivalent ratios at: