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What is the slope of the line through (1,0) and (3,8) ? Choose 1 answer: (A) 4 (B) -4 (c) -(1)/(4) (D) (1)/(4)

What is the slope of the line through (1,0) (1,0) and (3,8) (3,8) ?\newlineChoose 11 answer:\newline(A) 44\newline(B) −4-4\newline(C) −14 -\frac{1}{4} \newline(D) 14 \frac{1}{4}

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Full solution

Q. What is the slope of the line through (1,0) (1,0) and (3,8) (3,8) ?\newlineChoose 11 answer:\newline(A) 44\newline(B) −4-4\newline(C) −14 -\frac{1}{4} \newline(D) 14 \frac{1}{4}
  1. Identify slope formula: Identify the slope formula.\newlineThe slope of a line is calculated by the change in yy divided by the change in xx, which is (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 (1,0)(1, 0) and (3,8)(3, 8). Let's assign these values to the formula: x1=1x_1 = 1, y1=0y_1 = 0, x2=3x_2 = 3, and y2=8y_2 = 8.\newlineSlope: (8−0)/(3−1)(8 - 0) / (3 - 1)
  3. Calculate change in y: Calculate the change in yy. 8−0=88 - 0 = 8.
  4. Calculate change in x: Calculate the change in xx.3−13 - 1 equals 22.
  5. Calculate slope: Calculate the slope.\newlineNow we divide the change in yy by the change in xx to find the slope.\newlineSlope = 82\frac{8}{2}
  6. Simplify fraction: Simplify the fraction to find the slope. 82\frac{8}{2} equals 44.

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