Question

aiden mihalcik - slope from two points finding slope from two points. find the slope of the line through each pair of points. 1) (19, -16), (-7, -15) 2) (1, -19)

Explanation:

Step1: Recall the 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 \( (x_1, y_1)=(19, - 16) \) and \( (x_2, y_2)=(-7, - 15) \).

Step2: Substitute values into the formula

Substitute \( x_1 = 19 \), \( y_1=-16 \), \( x_2=-7 \), \( y_2 = - 15 \) into the slope formula:
\( m=\frac{-15-(-16)}{-7 - 19} \)
Simplify the numerator: \( -15-(-16)=-15 + 16 = 1 \)
Simplify the denominator: \( -7-19=-26 \)
So, \( m=\frac{1}{-26}=-\frac{1}{26} \)

Answer:

\(-\frac{1}{26}\)