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