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What is the slope of the line through (-7,-8) and (0,4) ? Choose 1 answer: (A) (12)/(7) (B) -(7)/(12) (C) -(12)/(7) (D) (7)/(12)

What is the slope of the line through (−7,−8) (-7,-8) and (0,4) (0,4) ?\newlineChoose 11 answer:\newline(A) 127 \frac{12}{7} \newline(B) −712 -\frac{7}{12} \newline(C) −127 -\frac{12}{7} \newline(D) 712 \frac{7}{12}

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Q. What is the slope of the line through (−7,−8) (-7,-8) and (0,4) (0,4) ?\newlineChoose 11 answer:\newline(A) 127 \frac{12}{7} \newline(B) −712 -\frac{7}{12} \newline(C) −127 -\frac{12}{7} \newline(D) 712 \frac{7}{12}
  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 given points: Substitute the given points into the slope formula.\newlineWe have the points (−7,−8)(-7, -8) and (0,4)(0, 4). Let's denote these points as (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) respectively.\newlineSo, x1=−7x_1 = -7, y1=−8y_1 = -8, x2=0x_2 = 0, and y2=4y_2 = 4.\newlineSlope = 4−(−8)0−(−7)\frac{4 - (-8)}{0 - (-7)}
  3. Perform calculations: Perform the calculations.\newlineCalculate the change in yy (y2−y1y_2 - y_1):\newline4−(−8)=4+8=124 - (-8) = 4 + 8 = 12\newlineCalculate the change in xx (x2−x1x_2 - x_1):\newline0−(−7)=0+7=70 - (-7) = 0 + 7 = 7
  4. Write slope as fraction: Write the slope as a fraction.\newlineSlope = 127\frac{12}{7}
  5. Match with answer choices: Match the calculated slope with the given answer choices.\newlineThe calculated slope is 127\frac{12}{7}, which corresponds to answer choice (A)(A).

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