Question

find the slope of the line y - 5 = -13(x - 8).
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 \(y - 5=-13(x - 8)\). By comparing this equation with the point - slope form \(y - y_1=m(x - x_1)\), we can see that the value of \(m\) (the slope) is \(- 13\).

Answer:

\(-13\)