My IXL Learning Assessment Analyt. K.2 Find the slope from two points m05 Find the slope of the line that passes through \( (-18,-28) \) and \( (7,2) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope \( m \) of the line that passes through the points \( (-18, -28) \) and \( (7, 2) \), you can use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substituting the points into the formula: \[ m = \frac{2 - (-28)}{7 - (-18)} = \frac{2 + 28}{7 + 18} = \frac{30}{25} \] Simplifying this fraction, we get: \[ m = \frac{6}{5} \] So, the slope of the line is \( \frac{6}{5} \). Now, let's add some extra fun facts! Did you know that the concept of slope can be traced back to ancient Greek geometry? The notion of steepness has been around for centuries and still impacts how we analyze terrains and design roads today! Slope calculations are not just confined to math classes; engineers use them constantly when building slopes for drainage, roads, and ramps! Also, remember that when calculating the slope, a common mistake is switching the points or miscalculating the subtraction. Always double-check that you are consistent with \( (x_1, y_1) \) and \( (x_2, y_2) \) for accuracy. To avoid confusion, it might help to label your points clearly before jumping into calculations!