The slope-intercept form of a line is the following:
[tex]y=mx+q[/tex]
In this form, [tex]m[/tex] is the shape and [tex]q[/tex] is the y-intercept. Your line written in this form is
[tex]y=5x-2[/tex]
which implies that the slope is 5 and the y-intercept is -2.