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A line with a slope of 00 passes through the points (2,9)(2,9) and (10,q)(10,q). What is the value of qq?\newlineq=___q = \_\_\_

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Q. A line with a slope of 00 passes through the points (2,9)(2,9) and (10,q)(10,q). What is the value of qq?\newlineq=___q = \_\_\_
  1. Identify Points and Slope: Identify the points and slope.\newlinePoints: (2,9)(2, 9) and (10,q)(10, q)\newlineSlope: 00\newlineSince the slope of a line is the change in yy over the change in xx, we use the formula:\newlineSlope =q−910−2= \frac{q - 9}{10 - 2}
  2. Substitute and Solve for q: Substitute the slope value and solve for q.\newline0=q−980 = \frac{q - 9}{8}\newlineMultiply both sides by 88 to eliminate the denominator.\newline0×8=(q−9)0 \times 8 = (q - 9)\newline0=q−90 = q - 9
  3. Solve for q: Solve for q.\newline0=q−90 = q - 9\newlineq=9q = 9

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