Find the Coefficient of x in y=2x-3x²+1: Identifying Linear Terms

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $b$ in the equation

$y=2x-3x^2+1$

To solve this problem, we need to identify the coefficients in the given quadratic equation:

• The equation provided is $y = 2x - 3x^2 + 1$.
• The standard form of a quadratic equation is $ax^2 + bx + c$.
• From the equation, identify:
  • The $ax^2$ term is $-3x^2$, indicating $a = -3$.
  • The $bx$ term is $2x$, indicating $b = 2$.
  • The constant term $c$ is $1$.

Thus, the coefficient $b$ in the equation $y = 2x - 3x^2 + 1$ is $b = 2$, which corresponds to choice 1.