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Find the slope of the line that passes through (4,5)(4, 5) and (2,10)(2, 10).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Q. Find the slope of the line that passes through (4,5)(4, 5) and (2,10)(2, 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)=(4,5)(x_1, y_1) = (4, 5)\newlinePoint 22: (x2,y2)=(2,10)(x_2, y_2) = (2, 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=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug in the values from Step 11 into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula. m=10524m = \frac{10 - 5}{2 - 4}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=5(2)m = \frac{5}{(-2)}
  5. Simplify Fraction: Simplify the fraction if necessary.\newlineThe fraction 5(2)\frac{5}{(-2)} is already in simplest form, so we do not need to simplify further.

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