Find Coefficients in y=-40x+40: Linear Equation Analysis

Question

Identify the coefficients based on the following equation

y=40x+40 y=-40x+40

Video Solution

Solution Steps

00:00 Find the function coefficients
00:03 We'll use the formula to represent a quadratic equation
00:13 Let's arrange the equation to match the formula
00:39 Let's separate the variable from the coefficient
00:55 We'll compare the formula to our equation and find the coefficients
01:07 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Identify the equation as a linear function represented in the form of y=ax2+bx+c y = ax^2 + bx + c , where a a , b b , and c c are coefficients we need to find.
  • Recognize that since the function is linear and lacks an x2 x^2 term, a a must be 0 0 .
  • Match the coefficient of x x with b b .
  • Match the constant term with c c .

Now, let's work through each step:
Step 1: Our equation is y=40x+40 y = -40x + 40 . It doesn't have an x2 x^2 term, so a=0 a = 0 .
Step 2: The coefficient of x x is 40-40, which corresponds to b b . Thus, b=40 b = -40 .
Step 3: The constant term is 40 40 , which corresponds to c c . Thus, c=40 c = 40 .

Therefore, the solution to the problem is a=0,b=40,c=40 a = 0, b = -40, c = 40 .

The correct choice from the provided options is :

a=0,b=40,c=40 a=0,b=-40,c=40

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Answer

a=0,b=40,c=40 a=0,b=-40,c=40