Question

find the slope of the line that passes through (-90, 85) and (-92, 86). 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 given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Let \( (x_1, y_1)=(-90, 85) \) and \( (x_2, y_2)=(-92, 86) \).

Step2: Substitute values into formula

Substitute \( x_1=-90 \), \( y_1 = 85 \), \( x_2=-92 \), \( y_2 = 86 \) into the slope formula:
\( m=\frac{86 - 85}{-92-(-90)} \)

Step3: Simplify numerator and denominator

Simplify numerator: \( 86 - 85=1 \)
Simplify denominator: \( -92-(-90)=-92 + 90=-2 \)

Step4: Find the slope

So, \( m=\frac{1}{-2}=-\frac{1}{2} \)

Answer:

\(-\frac{1}{2}\)