SOLUTION: Find and equation of the line containing the given pair of points (-4,0) and (0,1)

Algebra ->  Linear-equations -> SOLUTION: Find and equation of the line containing the given pair of points (-4,0) and (0,1)      Log On


   

Question 293220: Find and equation of the line containing the given pair of points (-4,0) and (0,1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The formula to use is

where
x%5B1%5D,y%5B1%5D = (-4,0) and
x%5B2%5D,y%5B2%5D = (0,1)
Plugging these values into the formula:

%28y+-+1%29%2F%28x+-+0%29+=+%280+-+1%29%2F%28-4+-+0%29
%28y+-+1%29%2Fx+=+%28-1%29%2F%28-4%29
%28y+-+1%29%2Fx+=+1%2F4
Multiply both sides by 4x
4y+-+4+=+x
4y+=+x+%2B+4
y+=+%281%2F4%29%2Ax+%2B+1 answer
check:
does it pass through the given points?
(-4,0)
0+=+%281%2F4%29%2A%28-4%29+%2B+1
0+=+-1+%2B+1
0+=+0
and
(0,1)
1+=+%281%2F4%29%2A0+%2B+1
1+=+0+%2B+1
1+=+1
OK