Question

We can't figure out a. everytime we put in standard form A is less than zero. we got -3x-4y= -20

Answer 1

Given:

The equation of line in given as,

`y=(3)/(4)x-5`

The objective is to write the equation in standard form Ax + By = C, with A ≥ 0, A and B both are not zero and A, B, C are integers with greatest common factor of 1.

Step-by-step explanation:

The given equation can be converted as,

`\begin{gathered} y=(3)/(4)x-5 \\ y=(3x-5(4))/(4) \\ 4y=3x-20 \\ 3x-4y=20 \end{gathered}`

Here, the value of A = 3 which is greater than zero, B = -4 which is not equal to zero. Also the greatest common factor of 3, -4, 20 is 1.

Hence, the standard form of the equation is 3x-4y = 20.