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The points (9,z)(9,z) and (10,9)(10,9) fall on a line with a slope of 66. What is the value of zz?\newlinez=___z = \_\_\_

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Q. The points (9,z)(9,z) and (10,9)(10,9) fall on a line with a slope of 66. What is the value of zz?\newlinez=___z = \_\_\_
  1. Identify Points and Slope: Identify the given points and the slope.\newlineWe have the points (9,z)(9, z) and (10,9)(10, 9), and the slope of the line is 66.
  2. Use Slope Formula: Use the slope formula to set up an equation.\newlineThe slope formula is (y2y1)/(x2x1)(y_2 - y_1) / (x_2 - x_1). Let's plug in our values.\newline6=(9z)/(109)6 = (9 - z) / (10 - 9)
  3. Simplify and Solve: Simplify the denominator and solve for zz.\newlineSince 109=110 - 9 = 1, the equation simplifies to:\newline6=9z6 = 9 - z\newlineNow, we solve for zz.
  4. Isolate z: Isolate z on one side of the equation.\newline6=9z6 = 9 - z\newlineAdd z to both sides:\newline6+z=96 + z = 9\newlineNow, subtract 66 from both sides:\newlinez=96z = 9 - 6\newlinez=3z = 3

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