Question

the equation of line j is
$y = \frac{5}{6}x + \frac{9}{4}$. line k is parallel to
line j. what is the slope of line k?

simplify your answer and write it
as a proper fraction, improper
fraction, or integer.

Explanation:

Step1: Recall the slope-intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.
For the line \(j\) with equation \(y=\frac{5}{6}x+\frac{9}{4}\), by comparing with \(y = mx + b\), we can see that the slope \(m\) of line \(j\) is \(\frac{5}{6}\).

Step2: Use the property of parallel lines

One of the key properties of parallel lines in a plane is that they have the same slope. Since line \(k\) is parallel to line \(j\), the slope of line \(k\) is equal to the slope of line \(j\).

Answer:

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