Question

the equation of line d is y = 7/9x + 4/3. line e is parallel to line d. what is the slope of line e? 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 slope of line d

The equation of line d is in slope - intercept form $y = mx + b$, where $m$ is the slope. For $y=\frac{7}{9}x+\frac{4}{3}$, the slope of line d is $\frac{7}{9}$.

Step3: Determine slope of line e

Since line e is parallel to line d, the slope of line e is the same as the slope of line d. So the slope of line e is $\frac{7}{9}$.

Answer:

$\frac{7}{9}$