In the equation Y=Kx+b, how does Y change in relation to x?

In the equation (Y = Kx + b), the relationship between (Y) and (x) is described as linear. This means that as (x) increases or decreases, (Y) will change at a constant rate determined by the coefficient (K). The term (K) represents the slope of the line, indicating how much (Y) will increase or decrease for each unit change in (x). The term (b) is the y-intercept, which determines the value of (Y) when (x) is zero.

Since there's a direct and proportional relationship between (Y) and (x) (assuming (K) is not equal to zero), this confirms that (Y) varies linearly as (x), which aligns with the characteristics of a linear function. There’s no element in this equation that leads to quadratic, constant, or inversely proportional relationships, which is why those interpretations do not hold.