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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 (−5,−10) (-5,-10) and (−1,5) (-1,5) ?\newlineChoose 11 answer:\newline(A) 154 \frac{15}{4} \newline(B) −415 -\frac{4}{15} \newline(C) −154 -\frac{15}{4} \newline(D) 415 \frac{4}{15}

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Full solution

Q. What is the slope of the line through (−5,−10) (-5,-10) and (−1,5) (-1,5) ?\newlineChoose 11 answer:\newline(A) 154 \frac{15}{4} \newline(B) −415 -\frac{4}{15} \newline(C) −154 -\frac{15}{4} \newline(D) 415 \frac{4}{15}
  1. Identify slope formula: Identify the slope formula.\newlineThe slope of a line passing 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 (−5,−10)(-5, -10) and (−1,5)(-1, 5). Let's denote these points as (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) respectively.\newlineSo, x1=−5x_1 = -5, y1=−10y_1 = -10, x2=−1x_2 = -1, and y2=5y_2 = 5.\newlineSlope = 5−(−10)−1−(−5)\frac{5 - (-10)}{-1 - (-5)}
  3. Perform calculations: Perform the calculations for the numerator and the denominator.\newlineNumerator: 5−(−10)=5+10=155 - (-10) = 5 + 10 = 15\newlineDenominator: −1−(−5)=−1+5=4-1 - (-5) = -1 + 5 = 4
  4. Calculate slope: Calculate the slope using the results from Step 33. Slope = 154\frac{15}{4}

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