Question

find the slope of the line that passes through (22, 10) and (68, 56). 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, \( (x_1, y_1)=(22, 10) \) and \( (x_2, y_2)=(68, 56) \).

Step2: Substitute the values into the formula

Substitute \( x_1 = 22 \), \( y_1 = 10 \), \( x_2 = 68 \), and \( y_2 = 56 \) into the slope formula:
\( m=\frac{56 - 10}{68 - 22} \)

Step3: Simplify the numerator and the denominator

First, calculate the numerator: \( 56-10 = 46 \).
Then, calculate the denominator: \( 68 - 22=46 \).
So, \( m=\frac{46}{46} \)

Step4: Simplify the fraction

\( \frac{46}{46}=1 \)

Answer:

\( 1 \)