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The points (−6,−8)(-6,-8) and (−4,w)(-4,w) fall on a line with a slope of 77. What is the value of ww?\newlinew=___w = \_\_\_

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Q. The points (−6,−8)(-6,-8) and (−4,w)(-4,w) fall on a line with a slope of 77. What is the value of ww?\newlinew=___w = \_\_\_
  1. Identify slope formula: Identify the formula for slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, (x1,y1)=(−6,−8)(x_1, y_1) = (-6, -8) and (x2,y2)=(−4,w)(x_2, y_2) = (-4, w).\newlineCalculation: Slope = (w−(−8))/(−4−(−6))(w - (-8)) / (-4 - (-6))
  2. Substitute slope value: Substitute the given slope value into the formula.\newlineWe know the slope is 77, so set up the equation: 7=(w+8)/27 = (w + 8) / 2.\newlineCalculation: 7×2=w+87 \times 2 = w + 8
  3. Solve for w: Solve for w.\newlineCalculation: 14=w+814 = w + 8\newlinew=14−8w = 14 - 8\newlinew=6w = 6

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