Question

1. Change ( Y = -5/3X - 2 ) to the standard form of the equation of a line.

2. Change ( Y = 4X - 3 ) to the standard form of the equation of a line.
(A) ( 5X + 3Y = -6 ); ( -4X + Y = -3 )
(B) ( 5X - 3Y = -6 ); ( 4X - Y = -3 )
(C) ( 5X - 3Y = 6 ); ( 4X + Y = -3 )
(D) ( 5X + 3Y = 6 ); ( -4X - Y = -3 )

Answer 1

To convert the given equations to standard form, for Y = -5/3X - 2, we multiply by 3 and rearrange to get 5X + 3Y = -6; for Y = 4X - 3, we rearrange to get -4X + Y = -3. The correct answer is (A).

Step-by-step explanation:

To change the equation Y = -5/3X - 2 to the standard form of the equation of a line, we would want to express it in the form Ax + By = C. We start by multiplying the entire equation by 3 to eliminate the fraction: 3Y = -5X - 6

Next, we move the term involving X to the other side by adding 5X to both sides: 5X + 3Y = -6

For the second equation Y = 4X - 3, we subtract 4X from both sides to get it into standard form: -4X + Y = -3

Thus, the correct answer is (A) ( 5X + 3Y = -6 ); ( -4X + Y = -3 ).