find the slope of the line ( y - 8 = \frac{5}{4}(x + 2) ). write your answer as an integer or as a…

find the slope of the line ( y - 8 = \frac{5}{4}(x + 2) ). write your answer as an integer or as a simplified proper or improper fraction.

find the slope of the line ( y - 8 = \frac{5}{4}(x + 2) ). write your answer as an integer or as a simplified proper or improper fraction.

Answer

Explanation:

Step1: Recall the point - slope form of a line

The point - slope form of a line is (y - y_1=m(x - x_1)), where (m) is the slope.

Step2: Identify the slope from the given equation

The given equation is (y - 8=\frac{5}{4}(x + 2)), which is in the point - slope form (y - y_1=m(x - x_1)) (here (x_1=-2,y_1 = 8)). By comparing, we can see that (m=\frac{5}{4}).

Answer:

(\frac{5}{4})