We know that slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] represents the slope and [tex]b[/tex] represents the y-intercept. In the equation [tex]y=\frac{3}{5} x-3[/tex] we can identify that our slope is [tex]\frac{3}{5}[/tex] and our y-intercept is [tex]-3[/tex]. We can now look at our graphs and figure out which one crosses the y axis (the one going up and down) at [tex]-3[/tex]. In your case there is only one that crosses the line here so we know it's B. If there were multiple graphs with the same y-intercept you would then move to looking at the slope. a slope of [tex]\frac{3}{5}[/tex] means that the next point would be 3 spaces up and 5 spaces right of the y-intercept, so we can confirm that B is correct.
