Convert each equation to standard form y-5=-3(x+2)

You said each equation but only posted one.

The standard form takes the place of

Ax + By = C.

y-5 = -3(x+2)

y - 5 = -3x - 6

y = -3x - 6 + 5

3x + y = -1

Done.

3x+y=-1

Step-by-step explanation:

Standard form is ax+by=c.

So we need to get the x-term and the y-term on the same side together.

First step: Distribute:

y-5=-3x-6

Second step: Add 5 on both sides:

y=-3x-6+5

Third step: Simplify:

y=-3x-1

Fourth step: Add 3x on both sides:

3x+y=-1

We are done because this is in ax+by=c form where a=3,b=1, and c=-1.

The form we started with in this problem is point-slope form: .

So if you follow those steps above for point-slope form you should get your standard form.

Let's do this for the general case.

First step: Distribute:

Second step: Add on both sides:

Third step: Simplify:

Fourth step: Add -mx on both sides:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.