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Why must I show all work? Perhaps you have to show all work to get credit for the homework, but that doesn't mean I have to.

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

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Hi. To get this you need to know the slope and the y intercept.

The slope is gotten through subtracting y2-y1 and dividing that by x2-x1.

so -1- (-6) / -2 -3 = 5/-5 = -1

so you have y= -1x + b

To get b you can plug in one of the coordinates such as (-2, -1)

-1= -1(-2) +b

-1= 2 +b

-1-2 =b

b= -3

Putting b into the equation: y= -x -3

I think thats correct. Please recheck your problem too.

slope = (-1 + 6)/(-2 - 3) = 5/-5 = -1

Eqn of line:

y + 6 = -1(x - 3)

y = -x - 3