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What is the slope of the line through (-1,-7) and (3,9) ? Choose 1 answer: (A) (1)/(4) (B) 4 (c) -(1)/(4) (D) -4

What is the slope of the line through (−1,−7)(-1,-7) and (3,9)(3,9)?\newlineChoose 11 answer:\newline(A) 14\frac{1}{4}\newline(B) 44\newline(C) −14-\frac{1}{4}\newline(D) −4-4

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Q. What is the slope of the line through (−1,−7)(-1,-7) and (3,9)(3,9)?\newlineChoose 11 answer:\newline(A) 14\frac{1}{4}\newline(B) 44\newline(C) −14-\frac{1}{4}\newline(D) −4-4
  1. Identify the 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 the given points: Substitute the given points into the slope formula.\newlineWe have the points (−1,−7)(-1, -7) and (3,9)(3, 9), so x1=−1x_1 = -1, y1=−7y_1 = -7, x2=3x_2 = 3, and y2=9y_2 = 9.\newlineSlope =9−(−7)3−(−1)= \frac{9 - (-7)}{3 - (-1)}
  3. Perform the calculations: Perform the calculations for the numerator and the denominator.\newlineCalculate the numerator: 9−(−7)=9+7=169 - (-7) = 9 + 7 = 16\newlineCalculate the denominator: 3−(−1)=3+1=43 - (-1) = 3 + 1 = 4
  4. Calculate the slope: Calculate the slope.\newlineSlope = 164\frac{16}{4}\newlineSlope = 44

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