Question

find the slope of the line that passes through (66, 28) and (48, 100). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1,y_1)=(66,28) \) and \( (x_2,y_2)=(48,100) \).

Step2: Substitute values

Substitute into the formula: \( m=\frac{100 - 28}{48 - 66} \). Calculate numerator and denominator: \( 100 - 28 = 72 \), \( 48 - 66=-18 \). So \( m=\frac{72}{-18} \).

Step3: Simplify the fraction

Simplify \( \frac{72}{-18}=-4 \).

Answer:

\(-4\)