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,

$y=\frac{3}{4}x-5$

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.

Explanation:

The given equation can be converted as,

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

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.