You can put this solution on YOUR website! y intercept = 2/3
so the interception point on y axis = (0,(2/3))
slope = -5
Using the slope point form of equation
y-y1=m(x-x1)
where (x1,y1) are the co ordinates and m is the slope
y-(2/3) = -5(x-0)
y-(2/3) =-5x
y= -5x+(2/3) ( slope intercept form)
Multiply by 3
3y=2-15x
15x+3y=2 ( standard form)