Question

line r passes through points (3, 4) and (10, 6). line s is parallel to line r. what is the slope of line s? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points and substitute into the formula

For the points \((3, 4)\) and \((10, 6)\), we have \( x_1 = 3\), \( y_1 = 4\), \( x_2 = 10\), and \( y_2 = 6 \).
Substituting these values into the slope formula: \( m=\frac{6 - 4}{10 - 3}=\frac{2}{7} \).
Since parallel lines have the same slope, the slope of line \( s \) is the same as the slope of line \( r \).

Answer:

\(\frac{2}{7}\)