Question

find the slope of the line ( y = \frac{13}{5}x + \frac{7}{6} ).
write your answer as an integer or as a simplified proper or improper fraction.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.

Step2: Identify the slope from the given equation

In the given equation \(y=\frac{13}{5}x+\frac{7}{6}\), comparing it with the slope - intercept form \(y = mx + b\), we can see that the coefficient of \(x\) (which is \(m\), the slope) is \(\frac{13}{5}\).

Answer:

\(\frac{13}{5}\)