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Write the equation of the line that passes through the points (-1,9) and (5,5). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. Answer:

Write the equation of the line that passes through the points (−1,9) (-1,9) and (5,5) (5,5) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:

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Q. Write the equation of the line that passes through the points (−1,9) (-1,9) and (5,5) (5,5) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:
  1. Calculate slope: Calculate the slope mm of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. Given points: (−1,9)(-1,9) and (5,5)(5,5). m=5−95−(−1)=−46=−23m = \frac{5 - 9}{5 - (-1)} = \frac{-4}{6} = -\frac{2}{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 given points to use in the equation. Let's use the point (−1,9)(-1,9). Point-slope form: y−9=(−23)(x−(−1))y - 9 = \left(-\frac{2}{3}\right)(x - (-1)).
  3. Simplify equation: Simplify the equation from Step 22.\newliney−9=(−23)(x+1)y - 9 = \left(-\frac{2}{3}\right)(x + 1).\newlineThis is the point-slope form of the line, and it is already simplified.

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