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Make and equation (−3,−1)(−2,−4)(-3,-1)(-2,-4)

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Full solution

Q. Make and equation (−3,−1)(−2,−4)(-3,-1)(-2,-4)
  1. Find the slope: Find the slope mm of the line using the slope formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.m=(−4)−(−1)(−2)−(−3)m = \frac{(-4) - (-1)}{(-2) - (-3)}m=−4+1−2+3m = \frac{-4 + 1}{-2 + 3}m=−31m = \frac{-3}{1}m=−3m = -3
  2. Use point-slope form: Use the point-slope form of the equation of a line: y−y1=m(x−x1)y - y_1 = m(x - x_1). Choose one of the points, say (−3,−1)(-3, -1), to plug into the equation. y−(−1)=−3(x−(−3))y - (-1) = -3(x - (-3)) y+1=−3(x+3)y + 1 = -3(x + 3)
  3. Distribute the slope: Distribute the slope on the right side of the equation. \newliney+1=−3x−9y + 1 = -3x - 9
  4. Subtract to isolate yy: Subtract 11 from both sides to get yy by itself.\newliney=−3x−9−1y = -3x - 9 - 1\newliney=−3x−10y = -3x - 10

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