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The points (−8,3)(-8,3) and (−7,r)(-7,r) fall on a line with a slope of −9-9. What is the value of rr?\newliner=r = ____

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Q. The points (−8,3)(-8,3) and (−7,r)(-7,r) fall on a line with a slope of −9-9. What is the value of rr?\newliner=r = ____
  1. Identify Formula for Slope: Identify the formula for slope between two points.\newlineThe slope formula is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, (x1,y1)=(−8,3)(x_1, y_1) = (-8, 3) and (x2,y2)=(−7,r)(x_2, y_2) = (-7, r).
  2. Substitute Known Values: Substitute the known values into the slope formula.\newlineSlope = −9-9, so:\newline−9=r−3−7+8-9 = \frac{r - 3}{-7 + 8}
  3. Simplify Denominator: Simplify the denominator.\newline−9=r−31-9 = \frac{r - 3}{1}
  4. Solve for r: Solve for r.\newline−9×1=r−3-9 \times 1 = r - 3\newline−9=r−3-9 = r - 3\newliner=−9+3r = -9 + 3\newliner=−6r = -6

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