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Complete the point-slope equation of the line through (−4,8)(-4, 8) and (4,4)(4, 4)

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Full solution

Q. Complete the point-slope equation of the line through (−4,8)(-4, 8) and (4,4)(4, 4)
  1. Calculate slope: Step 11: Calculate the slope of the line using the points (−4-4, 88) and (44, 44).\newlineReasoning: Use the slope formula m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1} .\newlineCalculation: m=4−84−(−4)=−48=−12 m = \frac{4 - 8}{4 - (-4)} = \frac{-4}{8} = -\frac{1}{2} .
  2. Write point-slope form: Step 22: Write the point-slope form of the equation using the slope and one of the points, say (−4-4, 88).\newlineReasoning: Use the point-slope formula y−y1=m(x−x1) y - y_1 = m(x - x_1) .\newlineCalculation: y−8=−12(x+4) y - 8 = -\frac{1}{2}(x + 4) .

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