Question

Rewrite the equation in standard form. Y+3=-(x-5)

Answer 1

`y+3=-(x-5)`

To rewrite the given equation (point slope) into standard form:

1. Remove parentheses: Multiply each term in the parentheses by -1:

`\begin{gathered} y+3=(-1)(x)+(-1)(-5) \\ \\ y+3=-x+5 \end{gathered}`

2. Add x in both sides of the equation:

`\begin{gathered} x+y+3=-x+x+5 \\ x+y+3=5 \end{gathered}`

3. Subtract 3 in both sides of the equation:

`\begin{gathered} x+y+3-3=5-3 \\ x+y=2 \end{gathered}`Then, the given equation in standard form is: x+y=2