(only do #3 please) It's due 11:59 PM! Please solve!!!

y = -3/2x + 3

Step-by-step explanation:

First, know that slope-intercept form is y = mx + b. Since our y-intercept is 3, we can plug that in for B, and since the slope goes down 3 and over to the right 2, it is -3/2. So, when everything's plugged in, we get y = -3/2x + 3.

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Options (2) and (3)

Step-by-step explanation:

Let,

-8 + 8i√3 = a² + b²i² + 2abi

-8 + 8i√3 = a² - b² + 2abi

By comparing both the sides of the equation,

a² - b² = -8 -------(1)

2ab = 8√3

ab = 4√3 ----------(2)

a =

By substituting the value of a in equation (1),

48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

b² + 4 = 0 ⇒ b = ±√-4

                     b = ± 2i

b² - 12 = 0 ⇒ b = ±2√3

Since, a =

For b = ±2i,

a =

  =

  =

But a is real therefore, a ≠ ±2i√3.

For b = ±2√3

a =

a = ±2

Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)

Options (2) and (3) are the correct options.