SOLUTION: Which is the equation of the line passing through (0, 6) and (3, 0)? (Points : 5) A. Y= - 1/2x +6 B. Y = -1/2X+3

Algebra ->  Coordinate-system -> SOLUTION: Which is the equation of the line passing through (0, 6) and (3, 0)? (Points : 5) A. Y= - 1/2x +6 B. Y = -1/2X+3       Log On


   



Question 931618: Which is the equation of the line passing through (0, 6) and (3, 0)?
(Points : 5)
A. Y= - 1/2x +6
B. Y = -1/2X+3
C . Y= -2X+6
D. Y= -2X+3

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
passing through (0, 6) Eliminate B and D
........
passing through (0, 6) and (3, 0)
only C works with P(3, 0)
Y= -2X+6
0= -2(3)+6

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

to find out which is the equation of the line passing through (0,+6) and (3,+0), plug in given points in each equation below and see which will be true:
A.
y=+-+%281%2F2%29x+%2B6 check the point (0,+6)
6=+-+%281%2F2%29%2A0+%2B6
6=+6...-> true
0=+-+%281%2F2%293+%2B6 check the point (3,+0)
0=+-+%283%2F2%29+%2B6
3%2F2=+6...-> not true
so, eliminate option A

B.
y+=+-%281%2F2%29x%2B3
y=+-+%281%2F2%29x+%2B3 check the point (0,+6)
6=+-+%281%2F2%29%2A0+%2B3
6=+3...-> not true
0=+-+%281%2F2%293+%2B3 check the point (3,+0)
0=+-+%283%2F2%29+%2B3
3%2F2=+3...-> not true
so, eliminate option B

C .
y=+-2x%2B6
y=+-+2x+%2B6 check the point (0,+6)
6=+-+2%2A0+%2B6
6=+6...-> highlight%28+true%29
0=+-+2%2A3+%2B6 check the point (3,+0)
0=+-+6+%2B6
0=+0...-> highlight%28+true%29
so, your answer is option highlight%28C%29
we can check option D too, just to prove it,s not an answer
D.
y=+-2x%2B6
y=+-+2x+%2B3 check the point (0,+6)
6=+-+2%2A0+%2B3
6=+3...-> not true
0=+-+2%2A3+%2B3 check the point (3,+0)
0=+-+6+%2B3
0=+-3...-> not true
so, eliminate option D