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The points (0,g)(0,g) and (−1,8)(-1,8) fall on a line with a slope of −10-10. What is the value of gg?\newlineg = ____

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Full solution

Q. The points (0,g)(0,g) and (−1,8)(-1,8) fall on a line with a slope of −10-10. What is the value of gg?\newlineg = ____
  1. Identify Points and Slope: Identify the given points and the slope.\newlineWe have the points (0,g)(0, g) and (−1,8)(-1, 8) and the slope m=−10m = -10.\newlineWe will use the slope formula, which is m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}, to find the value of gg.
  2. Plug Values into Formula: Plug the values into the slope formula.\newlineUsing the slope formula with our given points and slope:\newline−10=8−g−1−0-10 = \frac{8 - g}{-1 - 0}
  3. Simplify Denominator: Simplify the denominator of the fraction on the right side of the equation. \newline−10=8−g−1-10 = \frac{8 - g}{-1}
  4. Isolate Term with gg: Multiply both sides of the equation by −1-1 to isolate the term with gg.\newline−10×(−1)=(8−g)-10 \times (-1) = (8 - g)\newline10=8−g10 = 8 - g
  5. Solve for gg: Solve for gg by adding gg to both sides and subtracting 1010 from both sides.\newline10+g=810 + g = 8\newlineg=8−10g = 8 - 10\newlineg=−2g = -2

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