Slope is[tex] \text{m}=\frac{y_1-y_2}{x_1-x_2}=\cfrac{10-2}{1-(-3)} [/tex] Then you use the equation [tex]\text{y=mx+b}[/tex] Where b is the y-intercept. To find it, plug in x and y from one of the points. Say, point 1 (1,10): [tex]10=m(1)+b[/tex] You know m (from above) and now you can solve for b.