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A line with a slope of −4-4 passes through the points (−7,w)(-7,w) and (−9,1)(-9,1). What is the value of ww?\newlinew = ____

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Full solution

Q. A line with a slope of −4-4 passes through the points (−7,w)(-7,w) and (−9,1)(-9,1). What is the value of ww?\newlinew = ____
  1. Identify Points and Slope: Identify the given points and the slope.\newlinePoints: (−7,w)(-7, w) and (−9,1)(-9, 1)\newlineSlope: −4-4\newlineWe will use the slope formula which is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1) to find the value of ww.
  2. Apply Slope Formula: Apply the slope formula.\newline−4=1−w−9−(−7)-4 = \frac{1 - w}{-9 - (-7)}\newlineSimplify the denominator.\newline−4=1−w−9+7-4 = \frac{1 - w}{-9 + 7}
  3. Simplify Equation: Simplify the equation further.\newline−4=1−w−2-4 = \frac{1 - w}{-2}\newlineMultiply both sides by −2-2 to isolate the term with ww.\newline−4×(−2)=1−w−2×(−2)-4 \times (-2) = \frac{1 - w}{-2} \times (-2)\newline8=1−w8 = 1 - w
  4. Solve for ww: Solve for ww.8=1−w8 = 1 - wAdd ww to both sides.8+w=18 + w = 1Subtract 88 from both sides.w=1−8w = 1 - 8w=−7w = -7

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