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What is the slope of the line through (-9,6) and (-6,-9) ? Choose 1 answer: (A) -(1)/(5) (B) -5 (c) (1)/(5) (D) 5

What is the slope of the line through (−9,6) (-9,6) and (−6,−9) (-6,-9) ?\newlineChoose 11 answer:\newline(A) −15 -\frac{1}{5} \newline(B) −5-5\newline(C) 15 \frac{1}{5} \newline(D) 55

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Q. What is the slope of the line through (−9,6) (-9,6) and (−6,−9) (-6,-9) ?\newlineChoose 11 answer:\newline(A) −15 -\frac{1}{5} \newline(B) −5-5\newline(C) 15 \frac{1}{5} \newline(D) 55
  1. Identify slope formula: Identify the slope formula.\newlineThe slope of a line through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:\newlineSlope = y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}
  2. Substitute given points: Substitute the given points into the slope formula.\newlineWe have the points (−9,6)(-9, 6) and (−6,−9)(-6, -9), so we assign x1=−9x_1 = -9, y1=6y_1 = 6, x2=−6x_2 = -6, and y2=−9y_2 = -9.\newlineSlope = −9−6−6−(−9)\frac{-9 - 6}{-6 - (-9)}
  3. Calculate change in y: Calculate the change in y y2−y1y_2 - y_1.\newlineChange in y = −9−6=−15-9 - 6 = -15
  4. Calculate change in x: Calculate the change in xx (x2−x1x_2 - x_1).\newlineChange in x=−6−(−9)=−6+9=3x = -6 - (-9) = -6 + 9 = 3
  5. Calculate slope: Calculate the slope using the changes in yy and xx.Slope=−153=−5\text{Slope} = \frac{-15}{3} = -5

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