Question

Can someone help me with a parametrization of the line segment?

Answer 1

line segment between the points (-3,2) and ( 4,-9)

Answer 2

and i need to find the parametrization of the line segment

Answer 3

you have formula to do it . it is (1-t) (r0) + t( r1)

Answer 4

sorry for the bad connection.
your is (1-t)(-3,2) +t( (4,-9)
= (-3(1-t) , 2(1-t) )+ (4t, -9t)

Answer 5

= ((-3+ 3t), (2 -2t) )+ (4t, -9t)

Answer 6

= (-3 + 3t +4t, (2 -2t -9t)
= (-3 +7t, 2 -11t)

Answer 7

it means x = -3 +7t
y = 2-11t
that's your parametric equation for line segment. when take int, t goes from 0 to 1

Answer 8

and you did this by the formula, correct?

Answer 9

yes, another way to do is writing down the line equation by slope form, but why? when we have formula to apply?

Answer 10

I understand the way you did it. Thank You!

Answer 11

yw