Question

the equation of line d is $y = \frac{5}{6}x + \frac{3}{8}$. 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-intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.
For the line \(d\) with equation \(y=\frac{5}{6}x+\frac{3}{8}\), by comparing with \(y = mx + b\), we can see that the slope \(m\) of line \(d\) is \(\frac{5}{6}\).

Step2: Use the property of parallel lines

Parallel lines have the same slope. Since line \(e\) is parallel to line \(d\), the slope of line \(e\) is equal to the slope of line \(d\).

Answer:

\(\frac{5}{6}\)