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y+2=-3(x-4) Complete the missing value in the solution to the equation. (◻,-2)

y+2=−3(x−4) y+2=-3(x-4) \newlineComplete the missing value in the solution to the equation.\newline(□,−2) (\square,-2)

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Q. y+2=−3(x−4) y+2=-3(x-4) \newlineComplete the missing value in the solution to the equation.\newline(□,−2) (\square,-2)
  1. Substitute y=−2y = -2: To find the xx-coordinate of the point where the line intersects with y=−2y = -2, we need to substitute y=−2y = -2 into the equation y+2=−3(x−4)y+2=-3(x-4) and solve for xx.
  2. Simplify the equation: Substitute y=−2y = -2 into the equation: (−2)+2=−3(x−4)(-2) + 2 = -3(x - 4).
  3. Divide and solve for x: Simplify the left side of the equation: 0=−3(x−4)0 = -3(x - 4).
  4. Add to find xx: Divide both sides by −3-3 to solve for xx: 0=x−40 = x - 4.
  5. Final x-coordinate: Add 44 to both sides to find the value of xx: 4=x4 = x.
  6. Final x-coordinate: Add 44 to both sides to find the value of xx: 4=x4 = x.The x-coordinate of the point where the line intersects with y=−2y = -2 is 44. Therefore, the missing value in the solution to the equation is 44, and the complete point is (4,−2)(4, -2).

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