Math
posted by Alex .
State the coordinates of two points on the following line
x=38t
y=4t
For one point I got (3,0). In the back of the book it says (11, 4) for another point. How would I get that?
b) r = (4,0) + t(0, 5)
I got (4,0) for one point. In the back of the book it says (4,10) for another point. How would I get that?

State a direction vector with integer components.
x = (1/3) + 2t, y = 3(2/3)t
State the integer components and name a point on the line with integer coordinates.
r = (1/3, 1/2) + t(1/3, 1/4)

x=38t
y=4t
let t=1
b) for r = (4,0) + t(0, 5)
let t=2

x = (1/3) + 2t, y = 3(2/3)t
so r= (1/3,3) + t(2,2/3)
a direction vector is
(2,2/3) or (4,2) or (8,4), or ....
do you follow?
for the last one, what do you think should be value of t to have integer solutions?