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What is the slope of the line through (-1,8) and (3,-4) ? Choose 1 answer: (A) 3 (B) -(1)/(3) (c) (1)/(3) (D) -3

What is the slope of the line through (−1,8) (-1,8) and (3,−4) (3,-4) ?\newlineChoose 11 answer:\newline(A) 33\newline(B) −13 -\frac{1}{3} \newline(C) 13 \frac{1}{3} \newline(D) −3-3

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Full solution

Q. What is the slope of the line through (−1,8) (-1,8) and (3,−4) (3,-4) ?\newlineChoose 11 answer:\newline(A) 33\newline(B) −13 -\frac{1}{3} \newline(C) 13 \frac{1}{3} \newline(D) −3-3
  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.\newlineSlope formula: 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 (−1,8)(-1, 8) and (3,−4)(3, -4). Let's denote (−1,8)(-1, 8) as (x1,y1)(x_1, y_1) and (3,−4)(3, -4) as (x2,y2)(x_2, y_2).\newlineSlope: −4−83−(−1)\frac{-4 - 8}{3 - (-1)}
  3. Calculate change in y: Calculate the change in y-coordinates.\newlineChange in y: −4−8=−12-4 - 8 = -12
  4. Calculate change in x: Calculate the change in x-coordinates.\newlineChange in x: 3−(−1)=3+1=43 - (-1) = 3 + 1 = 4
  5. Calculate slope: Calculate the slope using the changes in yy and xx.\newlineSlope: −12/4=−3-12 / 4 = -3

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