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A line that includes the points (−9,n)(-9,n) and (−8,8)(-8,8) has a slope of 33. What is the value of nn?\newlinen=___n = \_\_\_

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Q. A line that includes the points (−9,n)(-9,n) and (−8,8)(-8,8) has a slope of 33. What is the value of nn?\newlinen=___n = \_\_\_
  1. Identify formula for slope: Identify the formula for the slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, we know the slope m=3m = 3, x1=−9x_1 = -9, y1=ny_1 = n, x2=−8x_2 = -8, and y2=8y_2 = 8.
  2. Substitute known values: Substitute the known values into the slope formula.\newline3=8−n−8+93 = \frac{8 - n}{-8 + 9}\newline3=8−n13 = \frac{8 - n}{1}
  3. Solve for n: Solve for n.\newline3=8−n3 = 8 - n\newlinen=8−3n = 8 - 3\newlinen=5n = 5

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