Question

find the slope of the line that passes through (18, 33) and (88, -21). simplify your answer and write it as a proper fraction, improper fraction, or integer. submit

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1 = 18 \), \( y_1 = 33 \), \( x_2 = 88 \), \( y_2=-21 \).

Step2: Substitute values into formula

Substitute the values into the slope formula: \( m=\frac{-21 - 33}{88 - 18} \).

Step3: Simplify numerator and denominator

Simplify the numerator: \(-21-33=-54\).
Simplify the denominator: \(88 - 18 = 70\).
So, \( m=\frac{-54}{70} \).

Step4: Reduce the fraction

Divide both numerator and denominator by their greatest common divisor, which is 2.
\( \frac{-54\div2}{70\div2}=\frac{-27}{35} \).

Answer:

\(-\frac{27}{35}\)