Posted by Alison on .
Which is an equation of the line that passed through ( 2,5 ) and ( 6,3 ).
A. Y= 1/2X  6
B. Y= 1/2X
C. Y= 2X + 12
D. Y= 2X  9

Math 
Alison,
I really need help with this question so can anyone please explain to me how I can solve this question and please explain to me how you found the answer to this question step by step.

Math 
Steve,
Look up the twopoint form of the equation for a line. It is based on the fact that the slope of a line is constant. The slope here is (3+5)/(62) = 2.
Now starting from the point (2,5), pick any other point (x,y) on the line.
The slope between those two points will always be the same: 2. So, for any point (x,y),
(y+5)/(x2) = 2
(y+5) = 2(x2)
y+5 = 2x4
y = 2x9
You could just as easily use the other point (6,3) as a starting place:
y3 = 2(x6)
y3 = 2x12
y = 2x9