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

Question

asked Feb 1, 2023 4.8k views

1 Answer

Dmiters · Answer 1 · 2023-02-07T02:50:45+0000

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