Question

Convert the equation y= -4x + 2/3 into general form equation and find t the values of A,B and C.

Answer 1

Answer:

Standard form: $12x+3y-2=0$

A = 12, B = 3 and C = -2

Step-by-step explanation:

Given:

The equation:

$y= -4x + \dfrac{2}3$

To find:

The standard form of given equation and find A, B and C.

Solution:

First of all, let us write the standard form of an equation.

Standard form of an equation is represented as:

$Ax+By+C=0$

A is the coefficient of x and can be positive or negative.

B is the coefficient of y and can be positive or negative.

C can also be positive or negative.

Now, let us consider the given equation:

$y= -4x + \dfrac{2}3$

Multiplying the whole equation with 3 first:

$3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2$

Now, let us take all the terms on one side:

$\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0$

Now, let us compare with $Ax+By+C=0$.

So, A = 12, B = 3 and C = -2