SOLUTION: FInd the value of x or y so that the line through th3e points has the given slope. (6,-19) and (-1,y); slope -1 over 7

Algebra ->  Square-cubic-other-roots -> SOLUTION: FInd the value of x or y so that the line through th3e points has the given slope. (6,-19) and (-1,y); slope -1 over 7      Log On


   

Question 63696: FInd the value of x or y so that the line through th3e points has the given slope.
(6,-19) and (-1,y); slope -1 over 7
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(6,-19) and (-1,y); slope -1 / 7
use the formula
%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29+=+m
+%28y+-+%28-19%29%29+%2F+%28-1+-+6%29+=+-1+%2F+7
multiply both sides by 7
%287y+%2B+133%29+%2F+-7+=+-1
multiply both sides by -7
7y+%2B+133+=+7
7y+=+-126
y+=+-18
now use
y+=+mx+%2B+b
y+=+%28-1%2F7%29x+%2B+b
to find b, use the point (-1,-18)
-18+=+%28-1%2F7%29%2A%28-1%29+%2B+b
-18+=+1%2F7+%2B+b
b+=+-127%2F7
y+=+%28-1%2F7%29x+-+127%2F7 is the equation