Answer:
Option e: 2/3 is the correct answer.
Step-by-step explanation:
The slope of a line is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.
The two points are:
(x1,y1) = (9,4)
(x2,y2) = (3,0)
Putting the values in the formula
[tex]m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
The slope of line C is: 2/3
Hence,
Option e: 2/3 is the correct answer.
