Respuesta :
Answer:
The coordinate of (2,y) is 5.85 such that the given point lies on line [tex]y=\frac{3}{7}x+5[/tex].
Step-by-step explanation:
Given : Equation of line [tex]y=\frac{3}{7}x+5[/tex]
We have to find the value of y coordinate of point (2,y) such that the given point lies on line [tex]y=\frac{3}{7}x+5[/tex].
Since, the point lies on the line [tex]y=\frac{3}{7}x+5[/tex]
So (2,y) satisfies the equation of line [tex]y=\frac{3}{7}x+5[/tex]
Put x = 2 and y = y, we have,
[tex]y=\frac{3}{7}(2)+5[/tex]
[tex]y=\frac{6}{7}+5[/tex]
Take LCM, we have
LCM (7,1) = 7
[tex]y=\frac{6+35}{7}[/tex]
⇒ [tex]y=\frac{41}{7}=5.85[/tex]
Thus, The coordinate of (2,y) is 5.85 such that the given point lies on line [tex]y=\frac{3}{7}x+5[/tex].
