Question

the equation of line r is
$y = \frac{5}{3}x + 5$. 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 - 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 \(r\) with the equation \(y=\frac{5}{3}x + 5\), by comparing it with the slope - intercept form \(y=mx + b\), we can see that the slope \(m\) of line \(r\) is \(\frac{5}{3}\).

Step2: Use the property of parallel lines

One of the key properties of parallel lines is that they have the same slope. Since line \(s\) is parallel to line \(r\), the slope of line \(s\) is equal to the slope of line \(r\).

Answer:

\(\frac{5}{3}\)