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A line that includes the points (1,r)(1,r) and (−1,2)(-1,2) has a slope of 33. What is the value of rr?\newliner = ____

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Q. A line that includes the points (1,r)(1,r) and (−1,2)(-1,2) has a slope of 33. What is the value of rr?\newliner = ____
  1. Identify Given Points and Slope: Identify the given points and the slope.\newlineWe have the points (1,r)(1, r) and (−1,2)(-1, 2) and the slope of the line is 33.\newlineWe will use the slope formula which is (y2−y1)/(x2−x1)=slope.(y_2 - y_1) / (x_2 - x_1) = \text{slope}.
  2. Plug Values into Formula: Plug the values into the slope formula.\newline3=2−r−1−13 = \frac{2 - r}{-1 - 1}\newlineNow we will solve for rr.
  3. Simplify and Solve for rr: Simplify the denominator and multiply both sides by the denominator to solve for rr.3=2−r−23 = \frac{2 - r}{-2}3×(−2)=2−r3 \times (-2) = 2 - r−6=2−r-6 = 2 - r
  4. Isolate and Solve for rr: Isolate rr by adding rr to both sides and subtracting 66 from both sides.\newline−6−2=−r-6 - 2 = -r\newline−8=−r-8 = -r\newlineNow, divide both sides by −1-1 to solve for rr.\newliner=8r = 8

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