Question

PLEASE HELP IM STRUGGLING

Answer 1

1)2x -y+2=0

2)-x +4y +8 = 0

Explanation:

Here two equations are given to us and we need to write them in Standard form . The given equations are linear equation in two variables and their Standard form is ,

`\implies ax + by + c = 0`

• Where a , b and c are constants .

1) y - 4 = -2(x +3)

Open the brackets on RHS ,

`\implies y - 4 = -2x -6`

Transpose all the terms to LHS ,

`\implies 2x - y -4 +6 = 0`

Add the constant terms ,

`\implies \boxed{ 2x - y +2 =0}`

Hence the equation in standard form is 2x -y +2=0.

2) y = ¼x -2

Add 2 on both sides ,

`\implies y + 2 = (1)/(4)x`

Multiply both sides by 4 ,

`\implies 4y +8 =x`

Subtract x on both sides,

`\implies \boxed{ -x + 4y + 8 =0}`

Hence the equation in standard form is -x +4y +8=0 .