In slope intercept form: y=mx+b the m represents the slope (also known as rise over run of the graph) and the m represents the y intercept. So in this case
[tex] y=\frac{3}{5}x+ \frac{4}{7} [/tex]
the slope is [tex] \frac{3}{5} [/tex] and the y intercept is [tex] \frac{4}{7} [/tex]