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Math Asked by a SnapAndSolve user · about 8 hours ago

(6, 3), m = \frac{1}{4} 2. (-6, 12), m = -2 3. (-2, -11), m = \frac{5}{2} 4. (1, 0), m = q 5. Explain how...

1. (6, 3), m = \frac{1}{4}
2. (-6, 12), m = -2
3. (-2, -11), m = \frac{5}{2}
4. (1, 0), m = q
5. Explain how your equations were affected by the sign of the ordered pair values (positive or negative).

Answer

  1. The point-slope form is y - y₁ = m(x - x₁). For (6, 3), m = 1/4, the equation is: y - 3 = \frac{1}{4}(x - 6).

  2. For (-6, 12), m = -2, the equation is: y - 12 = -2(x + 6).

  3. For (-2, -11), m = 5/2, the equation is: y + 11 = \frac{5}{2}(x + 2).

  4. For (1, 0), m = q, the equation is: y = q(x - 1).

  5. The sign of the ordered pair values affects the equation by changing the signs in the terms (x - x₁) and (y - y₁). Positive values result in subtraction, while negative values result in addition in the equation.

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