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A line that includes the points (−6,10)(-6,10) and (−7,z)(-7,z) has a slope of 99. What is the value of zz?\newlinez=___z = \_\_\_

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Full solution

Q. A line that includes the points (−6,10)(-6,10) and (−7,z)(-7,z) has a slope of 99. What is the value of zz?\newlinez=___z = \_\_\_
  1. Identify Points and Slope: Identify the points and slope given in the problem. Points: (−6,10)(-6, 10) and (−7,z)(-7, z). Slope: 99. Use the slope formula: Slope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}.
  2. Use Slope Formula: Simplify the denominator and solve for zz. 9=z−10−19 = \frac{z - 10}{-1}.
  3. Simplify and Solve: Simplify the equation to find zz. −9=z−10-9 = z - 10.
  4. Calculate Final Value: Calculate the final value of zz. z=1z = 1.

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