Input in standard form the equation of the given line. The line that passes through (-3, 5) and (-2, -6)

The equation in standard form is 11x + y = -28.

Step-by-step explanation:

Let's start with y = mx + b

5 = -3m + b

-6 = -2m + b

Let's take the second less the first.

m = -11

Plug back in the first equation to calculate b.

5 = 33 + b

b = -28

So y = -11x - 28

11x + y = -28

Y = x+12
52 = x + y

You plug in the (x+12) for y in (52 = x + y) making the equation 52 = x + x +12 or simplified 52 = 2x + 12. You subtract 12 from both sides of the equation to get 40 = 2x. You divide both sides by 2 to get 20 = x.

You then plug in 20 for x in y = x+12, now y = 20 +12. Simplified y = 32

32 + 20 = 52