Question

What is the slope of the line that passes through the points (3,3) and (-3,-1).

Answer 1

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,

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the increment of the y-variable

$\Delta x$ is the increment of the x-variable

Given two points of coordinates $(x_1,y_1)$ and $(x_2,y_2)$ belonging to the line, the slope of the line can be calculated as

$m=\frac{y_2-y_1}{x_2-x_1}$

In this problem, the following two points belong to the line:

(3,3)

(-3,-1)

Therefore, the slope of the line is:

$m=\frac{-1-(3)}{-3-(3)}=\frac{-4}{-6}=\frac{2}{3}$

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