you can calculate the slope of a line if you have two points, the slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x2,y2) is the rightmost point, for this case (5,3) and (x1,y1) is the other point, So:
[tex]m=\frac{(3)-(-1)}{(5)-(-1)}[/tex][tex]m=\frac{3+1}{5+1}\text{ = }\frac{4}{6}[/tex]We can reduce the answer
[tex]\frac{4}{6}\text{ = }\frac{2}{3}[/tex]Finally, the slope of the line is:
[tex]\frac{2}{3}[/tex]