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What is the slope of the line through (-5,-10) and (-1,5) ? Choose 1 answer: (A) (15)/(4) (B) (4)/(15) (c) -(15)/(4) (D) -(4)/(15)

What is the slope of the line through \newline(−5,−10)(-5,-10) and \newline(−1,5)(-1,5)?\newlineChoose 11 answer:\newline(A) \newline154\frac{15}{4}\newline(B) \newline415\frac{4}{15}\newline(C) \newline−154-\frac{15}{4}\newline(D) \newline−415-\frac{4}{15}

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Full solution

Q. What is the slope of the line through \newline(−5,−10)(-5,-10) and \newline(−1,5)(-1,5)?\newlineChoose 11 answer:\newline(A) \newline154\frac{15}{4}\newline(B) \newline415\frac{4}{15}\newline(C) \newline−154-\frac{15}{4}\newline(D) \newline−415-\frac{4}{15}
  1. Recall formula for slope: Recall the formula for the slope of a line given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}.
  2. Substitute given points: Substitute the given points into the slope formula. Let (−5,−10)(-5, -10) be (x1,y1)(x_1, y_1) and (−1,5)(-1, 5) be (x2,y2)(x_2, y_2).\newlineSlope m=5−(−10)−1−(−5)m = \frac{5 - (-10)}{-1 - (-5)}
  3. Perform calculations: Perform the calculations inside the parentheses.\newlineSlope m=5+10−1+5m = \frac{5 + 10}{-1 + 5}
  4. Add and subtract numbers: Add and subtract the numbers to find the slope.\newlineSlope m=154m = \frac{15}{4}
  5. Check result: Check the result to ensure it matches one of the given answer choices.\newlineThe slope m=154m = \frac{15}{4} matches answer choice (A)(A).

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