we have
2x+3y=5
Step 1
find two points of the line
for x=0--------------> y=5/3 point (0,1.67)
for y=0 --------------> x=5/2 point (2.5,0)
The vector between two points is v =(2.5-0,0-1.67)=(2.5.-1.67)
Vector form: r=ro+tv----------> (2.5,0)+(2.5,-1.67)t
Parametric form
x=2.5+2.5t
y=-1.67t
the answer is
x=2.5+2.5t
y=-1.67t
