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Write the equation of the line that passes through the points (-7,-8) and (1,-7). 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 (−7,−8) (-7,-8) and (1,−7) (1,-7) . 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 (−7,−8) (-7,-8) and (1,−7) (1,-7) . 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: (−7,−8)(-7, -8) and (1,−7)(1, -7). Let's denote (−7,−8)(-7, -8) as (x1,y1)(x_1, y_1) and (1,−7)(1, -7) as (x2,y2)(x_2, y_2). Now, calculate the slope m=−7−(−8)1−(−7)m = \frac{-7 - (-8)}{1 - (-7)}. m=−7+81+7m = \frac{-7 + 8}{1 + 7}. m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}00.
  2. Write Equation: Write the point-slope form of the equation of the line.\newlinePoint-slope form: y−y1=m(x−x1)y - y_1 = m(x - x_1).\newlineWe can use either of the two points for (x1,y1)(x_1, y_1). Let's use the first point (−7,−8)(-7, -8).\newlineSubstitute m=18m = \frac{1}{8} and the point (−7,−8)(-7, -8) into the equation.\newliney−(−8)=18(x−(−7))y - (-8) = \frac{1}{8}(x - (-7)).\newliney+8=18(x+7)y + 8 = \frac{1}{8}(x + 7).
  3. Simplify Equation: Simplify the equation if necessary.\newlineThe equation y+8=18(x+7)y + 8 = \frac{1}{8}(x + 7) is already in point-slope form and does not need further simplification.

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