Question

find the slope of the line that passes through (30, 56) and (33, 8). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(30, 56) \) and \( (x_2, y_2)=(33, 8) \).

Step2: Substitute values into formula

Substitute \( x_1 = 30 \), \( y_1 = 56 \), \( x_2 = 33 \), \( y_2 = 8 \) into the slope formula:
\( m=\frac{8 - 56}{33 - 30} \)

Step3: Simplify numerator and denominator

Calculate numerator: \( 8 - 56=-48 \)
Calculate denominator: \( 33 - 30 = 3 \)
So, \( m=\frac{-48}{3} \)

Step4: Simplify the fraction

\( \frac{-48}{3}=-16 \)

Answer:

\( -16 \)