The slope of the line is 2/3
Step-by-step explanation:
The slope of a line is the rate of change of the dependent variable (y) with respect to the rate of change of the independent variable (x). Mathematically,
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y[/tex] is the increment of the y-variable
[tex]\Delta x[/tex] is the increment of the x-variable
Given two points of coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] belonging to the line, the slope of the line can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this problem, the following two points belong to the line:
(3,3)
(-3,-1)
Therefore, the slope of the line is:
[tex]m=\frac{-1-(3)}{-3-(3)}=\frac{-4}{-6}=\frac{2}{3}[/tex]
Learn more about slope of a line:
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