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What is the slope of the line through (−10,1)(-10 ,1) and (0,−4)(0 ,-4)

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Full solution

Q. What is the slope of the line through (−10,1)(-10 ,1) and (0,−4)(0 ,-4)
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (−10,1)(-10, 1)\newlinePoint 22: (0,−4)(0, -4)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:\newlinem=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)/(10)m = (-5) / (10)
  5. Simplify Fraction: Simplify the fraction to find the slope.\newlinem=−510m = -\frac{5}{10}\newlinem=−12m = -\frac{1}{2}

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