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The points (−5,9)(-5,9) and (−6,d)(-6,d) fall on a line with a slope of 00. What is the value of dd?\newlined=___d = \_\_\_

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Q. The points (−5,9)(-5,9) and (−6,d)(-6,d) fall on a line with a slope of 00. What is the value of dd?\newlined=___d = \_\_\_
  1. Calculate Slope: Points: (−5,9)(-5, 9) and (−6,d)(-6, d)\newlineSlope: 00\newlineSelect the equation that represents the slope of the line.\newlineSlope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}\newline0=d−9−6−(−5)0 = \frac{d - 9}{-6 - (-5)}
  2. Simplify Equation: 0=d−9−6+50 = \frac{d - 9}{-6 + 5}\newlineSimplify the right side of the equation.\newline0=d−9−10 = \frac{d - 9}{-1}
  3. Multiply by −1-1: 0=d−9−10 = \frac{d - 9}{-1}\newlineMultiply both sides by −1-1.\newline0×(−1)=d−9−1×(−1)0 \times (-1) = \frac{d - 9}{-1} \times (-1)\newline0=d−90 = d - 9
  4. Solve for d: 0=d−90 = d - 9\newlineSolve for d.\newline0=d−90 = d - 9\newline0+9=d−9+90 + 9 = d - 9 + 9\newline9=d9 = d

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