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The points (5,u)(5,u) and (4,6)(4,6) fall on a line with a slope of −3-3. What is the value of uu?\newlineu = ____

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Q. The points (5,u)(5,u) and (4,6)(4,6) fall on a line with a slope of −3-3. What is the value of uu?\newlineu = ____
  1. Calculate Slope Equation: Points: (5,u)(5, u) and (4,6)(4, 6)\newlineSlope: −3-3\newlineSelect the equation that represents the slope of the line.\newlineSlope =y2−y1x2−x1= \frac{y_2 - y_1}{x_2 - x_1}\newline−3=6−u4−5-3 = \frac{6 - u}{4 - 5}
  2. Simplify Equation: −3=6−u4−5-3 = \frac{6 - u}{4 - 5}\newlineSimplify the right side of the equation.\newline−3=6−u−1-3 = \frac{6 - u}{-1}
  3. Multiply by −1-1: −3=6−u−1-3 = \frac{6 - u}{-1}\newlineMultiply both sides by −1-1.\newline−3×(−1)=6−u−1×(−1)-3 \times (-1) = \frac{6 - u}{-1} \times (-1)\newline3=6−u3 = 6 - u
  4. Solve for uu: 3=6−u3 = 6 - u\newlineSolve for uu.\newline3=6−u3 = 6 - u\newline3−6=6−u−63 - 6 = 6 - u - 6\newline−3=−u-3 = -u\newlineu=3u = 3

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