Answer:
The slope of the line is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It's given the points (1,3) and (-2,2). Let's calculate the slope:
[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]
Calculating:
[tex]\displaystyle m=\frac{-1}{-3}[/tex]
[tex]\displaystyle m=\frac{1}{3}[/tex]
The slope of the line is [tex]\frac{1}{3}[/tex]