In order to find the slope of the given line, use the following formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
where (x1,y1) and (x2,y2) are any two points of the line.
In this case, use the coordinates of points A and B:
A(-3,1) = (x1,y1)
B(3,3) = (x2,y2)
replace the previous values of the paramters into the formula for m:
![m=(3-1)/(3-(-3))=(2)/(3+3)=(2)/(6)=(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/z4er0e0d9ep6v53rufkaaqknm8336hz874.png)
Hence, the slope of the given line AB is 1/3