Question

find the slope of the line that passes through (-59, -4) and (-58, 89). 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, \( x_1=-59 \), \( y_1 = - 4 \), \( x_2=-58 \), and \( y_2 = 89 \).

Step2: Substitute the values into the formula

Substitute the values into the slope formula:
\( m=\frac{89-(-4)}{-58-(-59)} \)

Step3: Simplify the numerator and the denominator

Simplify the numerator: \( 89-(-4)=89 + 4=93 \)
Simplify the denominator: \( -58-(-59)=-58 + 59 = 1 \)

Step4: Calculate the slope

\( m=\frac{93}{1}=93 \)

Answer:

\( 93 \)