Determine whether the equation represents a direct variation. if it does, find the constant of variation. 2y=5x+1

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or

In a direct variation the equation of the line passes through the origin

In this problem we have

----> this line not passes through the origin

therefore

The answer is

the equation does not represent a direct variation

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐