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A line with a slope of 44 passes through the points (8,u)(8,u) and (9,10)(9,10). What is the value of uu?\newlineu=___u = \_\_\_

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Full solution

Q. A line with a slope of 44 passes through the points (8,u)(8,u) and (9,10)(9,10). What is the value of uu?\newlineu=___u = \_\_\_
  1. Calculate Slope: Points: 8,u8, u and 9,109, 10. Slope: 44.\newlineUsing the slope formula: Slope = (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1).\newline4=(10−u)/(9−8)4 = (10 - u) / (9 - 8)
  2. Simplify Equation: Simplify the right side of the equation.\newline4=10−u14 = \frac{10 - u}{1}\newline4=10−u4 = 10 - u
  3. Solve for u: Solve for u.\newline4=10−u4 = 10 - u\newline4−10=−u4 - 10 = -u\newline−6=−u-6 = -u\newlineu=6u = 6

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