Question

find the slope of the line that passes through (-40, -1) and (-41, 94). 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 \( (x_1, y_1)=(-40, -1) \) and \( (x_2, y_2)=(-41, 94) \).

Step2: Substitute values into formula

Substitute \( x_1=-40 \), \( y_1 = - 1 \), \( x_2=-41 \), \( y_2 = 94 \) into the slope formula:
\( m=\frac{94-(-1)}{-41 - (-40)} \)

Step3: Simplify numerator and denominator

Simplify numerator: \( 94-(-1)=94 + 1=95 \)
Simplify denominator: \( -41-(-40)=-41 + 40=-1 \)

Step4: Calculate the slope

So, \( m=\frac{95}{-1}=-95 \)

Answer:

\(-95\)