Question

Convert the following equation into standard form. ​

Answer 1

Standard form of a line:-

• Ax+By+C=0

`\\ \rm\Rrightarrow y=(-4x)/(9)+3`

`\\ \rm\Rrightarrow y=(-4x+27)/(9)`

`\\ \rm\Rrightarrow 9y=-4x+27`

`\\ \rm\Rrightarrow 4x+9y-27=0`

Answer 2

`y = - (4x)/(9) + 3`

Move the expression to the left-hand side and change its sign

`y + (4x)/(9) = 3`

Multiply both sides of the equation by 9

`9y + 4x = 27`

Use the commutative property to reorder the terms

`\underline{ \underline{4x + 9y-27 = 0}}`