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Write the equation of the line that passes through the points (-3,6) and (6,8). 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 (−3,6) (-3,6) and (6,8) (6,8) . 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 (−3,6) (-3,6) and (6,8) (6,8) . 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: (−3,6)(-3,6) and (6,8)(6,8), where (x1,y1)=(−3,6)(x_1, y_1) = (-3,6) and (x2,y2)=(6,8)(x_2, y_2) = (6,8). Slope mm = 8−66−(−3)=29\frac{8 - 6}{6 - (-3)} = \frac{2}{9}.
  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).\newlineWe can use either of the two points for (x1,y1)(x_1, y_1). Let's use the first point (−3,6)(-3,6).\newlinePoint-slope form: y−6=29(x−(−3))y - 6 = \frac{2}{9}(x - (-3)).
  3. Simplify equation: Simplify the equation.\newliney−6=29(x+3)y - 6 = \frac{2}{9}(x + 3).\newlineThis is the point-slope form of the line and it is already simplified.

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