Question 1111899
When the equation of a line can be solved for {{{y}}} ,
the resulting equation has the form {{{y=mx+b}}} ,
with {{{m}}} and {{{b}}} being constants called slope and y-intercept respectively.
The form {{{y=mx+b}}} of the many equivalent equations representing a line
is called the {{{slope-intercept}}} form.
The line given by {{{5x-4y=0}}} <--> {{{y=(5/4)x}}}  <--> {{{y=(5/4)x+0}}} has
slope {{{m=5/4}}} and y-intercept {{{b=0}}} .
The line given by {{{-2x+3y=5}}} <--> {{{3y=2x+5}}} <--> {{{y=(2/3)x+5/3}}} has
slope {{{m=2/3}}} and y-intercept {{{b=5/3}}} .
Parallel lines have the same slope.
You are asking about a line with slope {{{m=2/3}}} and y-intercept {{{b=0}}} .
The equation for that line in {{{slope-intercept}}} form is
{{{y=(2/3)x+0}}} or simply {{{highlight(y=(2/3)x)}}} .