Consider the line defined by the parametric equations x=3d-10, y=2d+1.

Question

The y-intercept of this line can be expressed as a/b. Find a and b.

Answer 1

from x = 3d-10 ---> d = (x+10)/3
from y = 2d+1 ---> d = (y-1)/2

then (x+10)/3 = (y-1)/2
2x + 20 = 3y - 3
2x - 3y = -23
for y-intercept, x = 0
-3y = -23
y = 23/3 = a/b

or

in x=3d-10 , let x = 0
3d = 10
d = 10/3

sub into y = 2d+1
= 2(10/3)+1 = 23/3 = a/b