Question

find the slope of the line $y - 8 = \frac{7}{6}(x - 2)$. write your answer as an integer or as a simplified proper or improper fraction.

Explanation:

Step1: Recall point - slope form

The point - slope form of a linear equation is given by \(y - y_1=m(x - x_1)\), where \(m\) is the slope of the line and \((x_1,y_1)\) is a point on the line.

Step2: Compare with given equation

The given equation is \(y - 8=\frac{7}{6}(x - 2)\). By comparing this equation with the point - slope form \(y - y_1=m(x - x_1)\), we can see that \(m = \frac{7}{6}\).

Answer:

\(\frac{7}{6}\)