Question

find the slope of the line that passes through (-29, 47) and (28, 8). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line passing through 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 \((x_1, y_1)=(- 29,47)\) and \((x_2, y_2)=(29, - 8)\).

Step2: Substitute values into formula

Substitute \( x_1=-29,y_1 = 47,x_2=29,y_2=-8 \) into the slope formula:
\( m=\frac{-8 - 47}{29-(-29)}=\frac{-55}{29 + 29}=\frac{-55}{58} \)

Answer:

\(-\frac{55}{58}\)