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The points (9,7)(9,7) and (8,u)(8,u) fall on a line with a slope of 44. What is the value of uu?\newlineu=___u = \_\_\_

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Full solution

Q. The points (9,7)(9,7) and (8,u)(8,u) fall on a line with a slope of 44. What is the value of uu?\newlineu=___u = \_\_\_
  1. Identify Points and Slope: Identify the given points and the slope.\newlineWe have the points (9,7)(9, 7) and (8,u)(8, u) and the slope of the line is 44.
  2. Use Slope Formula: Use the slope formula to set up an equation.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Let's plug in our values.\newline4=(u−7)/(8−9)4 = (u - 7) / (8 - 9)
  3. Simplify Denominator: Simplify the denominator of the slope equation. 4=u−7−14 = \frac{u - 7}{-1}
  4. Multiply by −1-1: Multiply both sides of the equation by −1-1 to solve for uu.4×(−1)=(u−7)×(−1)4 \times (-1) = (u - 7) \times (-1)−4=−u+7-4 = -u + 7
  5. Add uu to Both Sides: Add uu to both sides of the equation to get all uu terms on one side.\newline−4+u=−u+u+7-4 + u = -u + u + 7\newline−4+u=7-4 + u = 7
  6. Subtract 77: Subtract 77 from both sides to solve for uu.
    −4+u−7=7−7-4 + u - 7 = 7 - 7
    u−11=0u - 11 = 0
  7. Add 1111: Add 1111 to both sides to find the value of uu. \newlineu−11+11=0+11u - 11 + 11 = 0 + 11\newlineu=11u = 11

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