Answer:
Option 3rd is correct
The slope of the line containing the points (-2, 3) and (-3, 1) is 2.
Step-by-step explanation:
Slope of the given two points is given by:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex] ...[1]
As per the statement:
Consider the points (-2, 3) and (-3, 1)
where,
[tex]x_1 = -2[/tex], [tex]y_1 = 3[/tex], [tex]x_2 = -3[/tex] and [tex]y_2 = 1[/tex]
Substitute in [1] we have;
[tex]\text{Slope} = \frac{1-3}{-3+2}[/tex]
⇒[tex]\text{Slope} = \frac{-2}{-1}[/tex]
Simplify:
[tex]\text{Slope} =2[/tex]
Therefore, The slope of the line containing the points (-2, 3) and (-3, 1) is 2
