Which line has the equation 2x - 3y = 6? (Please explain how you got your answer)

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the equation of the line.

2x - 3y = 6

Determine the equation of the line.

Solution:

In order to determine the equation of the line, we can simply solve for y. To start with we transpose 6 and -3y to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

2x - 3y = 6

3y = 2x - 6

Divide both sides by 3 in order to determine the value of y.

3y/3 = (2x - 6)/3

y = ⅔x - 2

Final answer:

y = ⅔x - 2