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The points (10,6)(10,6) and (9,g)(9,g) fall on a line with a slope of 22. What is the value of gg?\newlineg=___g = \_\_\_

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Full solution

Q. The points (10,6)(10,6) and (9,g)(9,g) fall on a line with a slope of 22. What is the value of gg?\newlineg=___g = \_\_\_
  1. Calculate Slope: Points: 10,610, 6 and 9,g9, g. Slope: 22. Use the slope formula: Slope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}.
  2. Simplify Denominator: Simplify the denominator: 9−10=−19 - 10 = -1. So, 2=(g−6)/−12 = (g - 6) / -1.
  3. Isolate Variable: Multiply both sides by −1-1 to isolate g−6g - 6: 2×−1=g−6−1×−12 \times -1 = \frac{g - 6}{-1} \times -1.
  4. Solve for g: Solve for g by adding 66 to both sides: −2+6=g−6+6-2 + 6 = g - 6 + 6.

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