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Write the equation of the line that passes through the points (8,0) and (-3,8). 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 (8,0) (8,0) and (−3,8) (-3,8) . 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 (8,0) (8,0) and (−3,8) (-3,8) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.\newlineAnswer:
  1. Calculate slope formula: Calculate the slope of the line using the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. Given points are (8,0)(8,0) and (−3,8)(-3,8), so we have: x1=8x_1 = 8, y1=0y_1 = 0, x2=−3x_2 = -3, y2=8y_2 = 8. Now, calculate the slope (mm): m=8−0−3−8m = \frac{8 - 0}{-3 - 8} m=8−11m = \frac{8}{-11} (8,0)(8,0)00
  2. Calculate slope: Use the point-slope form of the equation of a line, which is 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 point (8,0)(8,0).\newlineSubstitute m=−811m = -\frac{8}{11}, x1=8x_1 = 8, and y1=0y_1 = 0 into the equation:\newliney−0=(−811)(x−8)y - 0 = \left(-\frac{8}{11}\right)(x - 8)\newlineThis simplifies to:\newliney=(−811)(x−8)y = \left(-\frac{8}{11}\right)(x - 8)

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