SOLUTION: The equation of the line with an x-intercept of 1 and a y-intercept of −1 can be written in the form y=mx+b where the number m is: the number b is: Enter ea

Algebra ->  Linear-equations -> SOLUTION: The equation of the line with an x-intercept of 1 and a y-intercept of −1 can be written in the form y=mx+b where the number m is: the number b is: Enter ea      Log On


   

Question 955124: The equation of the line with an x-intercept of 1 and a y-intercept of −1 can be written in the form y=mx+b where
the number m is:
the number b is:
Enter each answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2).
What is m and b
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
ax%2Bby=1
When x=0,y=-1
b%28-1%29=1
b=-1
.
.
When y=0,x=1
a%281%29=1
a=1
So then,
x-y=1
y=x-1
.
.
.
m=1
b=-1
.
.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You are given 2 points:
( 1,0 )
( 0,-1 )
---------
You can plug these points into
the general equation:
+y+=+m%2Ax+%2B+b+
( 1,0 )
+0+=+m%2A1+%2B+b+
(1) +m+=+-b+
--------------
( 0,-1 )
+y+=+m%2Ax+%2B+b+
+-1+=+m%2A0+%2B+b+
(2) +b+=+-1+
---------------
Substituting:
(1) +m+=+-b+
(1) +m+=+-%28-1%29+
(1) +m+=+1+
---------------
The equation is:
+y+=+1%2Ax+-+1+
+y+=+x+-+1+
---------------
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+5%2C+-5%2C+5%2C+x+-+1+%29+