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Write the equation of the line that passes through the points (-3,8) and (3,2). 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 (−3,8) (-3,8) and (3,2) (3,2) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:

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Full solution

Q. Write the equation of the line that passes through the points (−3,8) (-3,8) and (3,2) (3,2) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:
  1. Calculate the Slope: Calculate the slope mm of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} with the given points (−3,8)(-3, 8) and (3,2)(3, 2).\newlinem=2−83−(−3)m = \frac{2 - 8}{3 - (-3)}\newlinem=−66m = \frac{-6}{6}\newlinem=−1m = -1
  2. Use Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the equation in point-slope form. The point-slope form is y−y1=m(x−x1)y - y_1 = m(x - x_1). Let's use the point (−3,8)(-3, 8). \newliney−8=−1(x−(−3))y - 8 = -1(x - (-3))\newliney−8=−1(x+3)y - 8 = -1(x + 3)
  3. Simplify the Equation: Simplify the equation to get the final point-slope form. \newliney−8=−1(x+3)y - 8 = -1(x + 3)\newliney−8=−x−3y - 8 = -x - 3

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