Question

Write y + 1 = –2x – 3 in standard form.

Question 8 options:

a)

x + 12y = −2

b)

2x + y = -4


c)

-2x-y = 4


d)

y = -2x-4

Answer 1

b) 2x + y = -4

Explanation:

To go from the Point-Slope Formula [y - y₁ = m(x - x)₁] to the Slope-Intercept Formula [y = mx + b], move -1 to the RIGHT side of the equivalence symbol to get this: y = -2x - 4. Although this is a correct answer choice, this is NOT what the question is looking for because you have to go an extra step further, Standard Formula. To go from the Slope-Intercept Formula to the Standard Formula [Ax + By = C], move 2x to the LEFT side of the equivalence symbol, and you will end up with this: 2x + y = -4. So, your answer is b).

Answer 2

b)
`2x+y=-4`

Explanation:

We have been given an equation
`y+1=-2x-3`. We are asked to write our given equation in standard form.

We know that standard form of an equation is
`Ax+By=C`.

Let us convert our given equation in standard form as:

`y+1-1=-2x-3-1`

`y=-2x-4`

`y+2x=-2x+2x-4`

`2x+y=-4`

Therefore, the standard form of our given equation would be
`2x+y=-4`.