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Write the equation of the line that passes through the points (-5,-5) and (-9,-4). 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 (−5,−5) (-5,-5) and (−9,−4) (-9,-4) . 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 (−5,−5) (-5,-5) and (−9,−4) (-9,-4) . 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: (−5,−5)(-5, -5) and (−9,−4)(-9, -4). m=−4−(−5)−9−(−5)m = \frac{-4 - (-5)}{-9 - (-5)} m=−4+5−9+5m = \frac{-4 + 5}{-9 + 5} m=1−4m = \frac{1}{-4}
  2. 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 (−5,−5)(-5, -5). Point-slope form: y−(−5)=1−4(x−(−5))y - (-5) = \frac{1}{-4}(x - (-5)) Simplify the equation: y+5=1−4(x+5)y + 5 = \frac{1}{-4}(x + 5)
  3. Check equation form: Check if the equation is in the simplest form.\newlineThe equation y+5=1−4(x+5)y + 5 = \frac{1}{-4}(x + 5) is already in the simplest point-slope form.

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