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What is the slope of the line through (-2,-6) and (2,2) ? Choose 1 answer: (A) (1)/(2) (B) 2 (c) -2 (D) -(1)/(2)

What is the slope of the line through (−2,−6) (-2,-6) and (2,2) (2,2) ?\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) 22\newline(C) −2-2\newline(D) −12 -\frac{1}{2}

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Q. What is the slope of the line through (−2,−6) (-2,-6) and (2,2) (2,2) ?\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) 22\newline(C) −2-2\newline(D) −12 -\frac{1}{2}
  1. Identify slope formula: Identify the slope formula.\newlineThe slope of a line is calculated by the change in yy-coordinates divided by the change in xx-coordinates between two points on the line.\newlineSlope formula: (y2−y1)/(x2−x1)(y_2 - y_1)/(x_2 - x_1)
  2. Substitute given points: Substitute the given points into the slope formula.\newlineWe have the points (−2,−6)(-2, -6) and (2,2)(2, 2). Let's denote (−2,−6)(-2, -6) as (x1,y1)(x_1, y_1) and (2,2)(2, 2) as (x2,y2)(x_2, y_2).\newlineSlope: 2−(−6)2−(−2)\frac{2 - (-6)}{2 - (-2)}
  3. Calculate change in y-coordinates: Calculate the change in y-coordinates y2−y1y_2 - y_1.\newlineChange in y: 2−(−6)2 - (-6) which simplifies to 2+62 + 6 equals 88.
  4. Calculate change in x-coordinates: Calculate the change in x-coordinates (x2−x1)(x_2 - x_1).\newlineChange in x: 2−(−2)2 - (-2) which simplifies to 2+22 + 2 equals 44.
  5. Calculate slope: Calculate the slope using the changes in yy and xx.\newlineSlope: 84\frac{8}{4} which simplifies to 22.
  6. Match calculated slope: Match the calculated slope to the given answer choices.\newlineThe calculated slope is 22, which corresponds to answer choice (B) 22.

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