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The points (6,5)(6,5) and (5,u)(5,u) fall on a line with a slope of 88. What is the value of uu?\newlineu = ____

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Full solution

Q. The points (6,5)(6,5) and (5,u)(5,u) fall on a line with a slope of 88. What is the value of uu?\newlineu = ____
  1. Slope Formula Application: We know the formula for the slope mm between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:\newlinem=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}\newlineWe are given the slope m=8m = 8 and the coordinates of two points (6,5)(6,5) and (5,u)(5,u).\newlineLet's plug these values into the slope formula to find uu.
  2. Solving for u: Using the slope formula:\newline8=u−55−68 = \frac{u - 5}{5 - 6}\newlineNow we need to solve for uu.
  3. Simplify Denominator: First, simplify the denominator:\newline8=u−5−18 = \frac{u - 5}{-1}\newlineTo get rid of the fraction, we multiply both sides by −1-1:\newline8×(−1)=u−58 \times (-1) = u - 5
  4. Multiplying Both Sides: Now, perform the multiplication on the left side:\newline−8=u−5-8 = u - 5\newlineNext, we add 55 to both sides to solve for uu:\newline−8+5=u-8 + 5 = u
  5. Calculating u Value: Finally, we calculate the value of uu: −3=u-3 = u So, the value of uu is −3-3.

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