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

Question

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $b$ in the equation

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

00:00 Find coefficient B

00:03 We'll use the quadratic equation formula

00:12 We'll arrange the equation to match the formula

00:20 We'll compare the formula to our equation and find the coefficients

00:29 We can see that coefficient B belongs to the X term

00:37 And this is the solution to the question

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.

$b=2$