Question

the equation of line r is y = -7/9x + 2. 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 slope - parallel line property

Parallel lines have equal slopes.

Step2: Identify the slope of line r

The equation of line r is in slope - intercept form \(y = mx + b\), where \(m\) is the slope. For \(y=\frac{-7}{9}x + 2\), the slope of line r is \(\frac{-7}{9}\).

Step3: Determine the slope of line s

Since line s is parallel to line r, the slope of line s is the same as the slope of line r. So the slope of line s is \(\frac{-7}{9}\).

Answer:

\(\frac{-7}{9}\)