Question

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

Answer 1

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

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

Explanation:

Given:

The equation:

`y= -4x + \frac{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 + \frac{2}3`

Multiplying the whole equation with 3 first:

`3 * y= 3 * -4x + 3 * \frac{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