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Find the slope of the line that passes through (2,12)(2, 12) and (4,5)(4, 5).\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 (2,12)(2, 12) and (4,5)(4, 5).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Remember slope formula: Remember the slope formula, which is (change in y)/(change in x)(\text{change in } y) / (\text{change in } x), or (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1).
  2. Plug in coordinates: Plug in the coordinates into the slope formula. So, it's (5−12)/(4−2)(5 - 12) / (4 - 2).
  3. Perform subtraction: Do the subtraction. That's −7/2-7 / 2.
  4. Check fraction simplification: Check if we simplified the fraction. Yep, −72-\frac{7}{2} is already simplified.

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