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What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____

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Q. What is the slope of the line through (−10,1)(-10,1) and (0,−4)(0,-4)? \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer. \newline_____
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineThe first point is (−10,1)(-10, 1), which means x1=−10x_1 = -10 and y1=1y_1 = 1.\newlineThe second point is (0,−4)(0, -4), which means x2=0x_2 = 0 and y2=−4y_2 = -4.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2). The formula is m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. \newlinem=−4−10−(−10)m = \frac{-4 - 1}{0 - (-10)}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=(−4−1)/(0+10)m = (-4 - 1) / (0 + 10)\newlinem=(−5)/10m = (-5) / 10
  5. Simplify Fraction: Simplify the fraction to find the slope. m=−12m = -\frac{1}{2}

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