Question
Verify if correct.
Determine which line is parallel to the line with Cartesian equation 2x +3y + 5=0
a) r=(-1,-1) +s(2,3), seR
b) x=3t-1, y=-2t-1, teR
c) x=2t-1, 3t-1, teR
d) none of the above.
I chose D, none of the above because none of them are multiples of the given equation 2x+3y+5=0.
Thank you!
Determine which line is parallel to the line with Cartesian equation 2x +3y + 5=0
a) r=(-1,-1) +s(2,3), seR
b) x=3t-1, y=-2t-1, teR
c) x=2t-1, 3t-1, teR
d) none of the above.
I chose D, none of the above because none of them are multiples of the given equation 2x+3y+5=0.
Thank you!
Answers
Reiny
look at b) , and sub into the line equation
LS = 2x + 3y + 5
= 2(3t-1) + 3(-2t-1) + 5
= 6t-2 -6t-3 + 5
= 0
= RS
not only are they parallel, but they represent the same line
LS = 2x + 3y + 5
= 2(3t-1) + 3(-2t-1) + 5
= 6t-2 -6t-3 + 5
= 0
= RS
not only are they parallel, but they represent the same line