Verified Answer :

y=3/7(2)+5
y= 6/7+5
y= 6/7+ 35/7
y= 41/7

Answer:

The coordinate of (2,y) is 5.85 such that the given point lies on line  \(y=\frac{3}{7}x+5\).

Step-by-step explanation:

Given :  Equation of line \(y=\frac{3}{7}x+5\)

We have to find the value of y coordinate of point (2,y) such that  the given point lies on line  \(y=\frac{3}{7}x+5\).

Since, the point lies on the  line \(y=\frac{3}{7}x+5\)

So (2,y) satisfies the equation of line \(y=\frac{3}{7}x+5\)

Put x = 2 and y = y, we have,

\(y=\frac{3}{7}(2)+5\)

\(y=\frac{6}{7}+5\)

Take LCM, we have

LCM (7,1) = 7

\(y=\frac{6+35}{7}\)

⇒  \(y=\frac{41}{7}=5.85\)

Thus, The coordinate of (2,y) is 5.85 such that the given point lies on line  \(y=\frac{3}{7}x+5\).