Question

Convert each equation from slope- intercept form to standard form.

1. y= 5x + 8 2. y= -4x + 2

3. y= 2/3x - 6 4. y= -1/2x - 3

5. y= -5x -13 6. y= 3/4x +10

Answer 1

The standard form:
`Ax+By=C`

1.

`y=5x+8` subtract 5x from both sides

`-5x+y=8` change the signs

`\boxed{5x-y=-8}`

2.

`y=-4x+2` add 4x to both sides

`\boxed{4x+y=2}`

3.

`y=(2)/(3)x-6` multiply both sides by 3

`3y=2x-18` subtract 2x from both sides

`-2x+3y=-18` change the signs

`\boxed{2x-3y=18}`

4.

`y=-(1)/(2)x-3` multiply both sides by 2

`2y=-x-6` add x to both sides

`\boxed{x+2y=-6}`

5.

`y=-5x-13` add 5x to both sides

`\boxed{5x+y=-13}`

6.

`y=(3)/(4)x+10` multiply both sides by 4

`4y=3x+40` subtract 3x from both sides

`-3x+4y=40` change the signs

`\boxed{3x-4y=-40}`