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A line that includes the points (−9,n)(-9,n) and (−8,−3)(-8,-3) has a slope of 44. What is the value of nn?\newlinen = ____

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Full solution

Q. A line that includes the points (−9,n)(-9,n) and (−8,−3)(-8,-3) has a slope of 44. What is the value of nn?\newlinen = ____
  1. Identify Points and Slope: Identify the given points and the slope.\newlineWe have two points: (−9,n)(-9, n) and (−8,−3)(-8, -3), and the slope of the line is 44.
  2. Use Slope Formula: Use the slope formula to set up an equation.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Let's plug in our values.\newline4=(n−(−3))/(−9−(−8))4 = (n - (-3)) / (-9 - (-8))
  3. Simplify Equation: Simplify the equation.\newline4=n+3−9+84 = \frac{n + 3}{-9 + 8}\newline4=n+3−14 = \frac{n + 3}{-1}
  4. Isolate n+3n + 3: Multiply both sides by −1-1 to isolate n+3n + 3.\newline4×(−1)=n+3−1×(−1)4 \times (-1) = \frac{n + 3}{-1} \times (-1)\newline−4=n+3-4 = n + 3
  5. Solve for n: Subtract 33 from both sides to solve for nn.−4−3=n+3−3-4 - 3 = n + 3 - 3−7=n-7 = n

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