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Find the slope of the line that passes through (1,14)(1, 14) and (10,10)(10, 10). \newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline _____

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Full solution

Q. Find the slope of the line that passes through (1,14)(1, 14) and (10,10)(10, 10). \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.\newlinePoint 11: (x1,y1)=(1,14)(x_1, y_1) = (1, 14)\newlinePoint 22: (x2,y2)=(10,10)(x_2, y_2) = (10, 10)\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: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug in the values from Step 11 into this formula.
  3. Calculate Slope: Calculate the slope using the coordinates from Step 11 and the formula from Step 22.\newlinem=(10−14)/(10−1)m = (10 - 14) / (10 - 1)\newlinem=(−4)/(9)m = (-4) / (9)\newlineThe slope of the line is −49-\frac{4}{9}.

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