Question

find the slope of the line that passes through (56, -25) and (57, 23). 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \( x_1 = 56 \), \( y_1=-25 \), \( x_2 = 57 \), \( y_2 = 23 \).

Step2: Substitute values into formula

Substitute the values into the slope formula: \( m=\frac{23-(-25)}{57 - 56} \).

Step3: Simplify numerator and denominator

Simplify the numerator: \( 23-(-25)=23 + 25=48 \).
Simplify the denominator: \( 57-56 = 1 \).

Step4: Find the slope

So, \( m=\frac{48}{1}=48 \).

Answer:

\( 48 \)