Answer: The value of y is [tex]\frac{4}{3}[/tex].
Explanation:
It is given that the graph of a proportional relationship passes through (12, 16)
and (1, y).
The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.
It is given that the graph passing through (12,16).
[tex]y=kx[/tex]
[tex]16=k(12)[/tex]
[tex]k=\frac{16}{12}[/tex]
[tex]k =\frac{4}{3}[/tex]
So the equation of the line is,
[tex]y=\frac{4}{3} x[/tex]
put x=1.
[tex]y=\frac{4}{3} (1)[/tex]
[tex]y=\frac{4}{3}[/tex]
Therefore, the value of y is [tex]\frac{4}{3}[/tex].
