Question

What is the equation in STANDARD FORM? y - 8 = -3(x + 4)

Answer 1

To convert the equation y - 8 = -3(x + 4) to standard form, distribute the -3, add 8 to both sides, and then add 3x to both sides, resulting in the standard form equation 3x + y = -4.

Step-by-step explanation:

The equation y - 8 = -3(x + 4) can be converted into standard form by distributing the -3 and moving all terms involving variables to one side of the equation and constants to the other side. Here are the steps for converting the equation to standard form:

1. Distribute the -3 into (x + 4) to get y - 8 = -3x - 12.
2. Add 8 to both sides of the equation to get y = -3x - 4.
3. To put this equation into standard form (Ax + By = C), we need to move the x term to the left side. Add 3x to both sides which gives us 3x + y = -4.

The equation in standard form is 3x + y = -4.