Question

find the slope of the line that passes through (-4, 98) and (89, 5). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1=-4 \), \( y_1 = 98 \), \( x_2=89 \), and \( y_2 = 5 \).

Step2: Substitute the values into the formula

Substitute the values into the slope formula:
\( m=\frac{5 - 98}{89-(-4)} \)

Step3: Simplify the numerator and the denominator

First, simplify the numerator: \( 5-98=-93 \)
Then, simplify the denominator: \( 89 - (-4)=89 + 4=93 \)

Step4: Calculate the slope

Now, we have \( m=\frac{-93}{93}=-1 \)

Answer:

\(-1\)