SOLUTION: write an equation of the line that passes through (1,6) and is parallel to the line x-y=4.

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line that passes through (1,6) and is parallel to the line x-y=4.      Log On


   



Question 164818: write an equation of the line that passes through (1,6) and is parallel to the line x-y=4.
Found 2 solutions by Mathtut, jojo14344:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
since we know that parallel lines have equal slopes lets write the equation in y=mx+b format which would be y=x-4 so we know that the slope is one(1). when you have a point and the slope of a line, you can use the point slope formula which is y-k=m(x-h) where (h,k) is a point on the line.
so we have (1,6) as that point on the line and a slope of 1 so we can write the following equation based on the point slope formula. y-6=1(x-1) simplifying we get y=1x+5 therefore
Answer is y=x+5

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
See the graph below for verification:
---> green line x%2B5 passes on point (1,6)---> Parallel to red line x-4
Using point (1,6)
Y%5B2%5D-Y%5B1%5D=m%28X%5B2%5D-X%5B1%5D%29
Y%5B2%5D-6=1%28X%5B2%5D-1%29
Y%5B2%5D=X%5B2%5D-1%2B6
Y%5B2%5D=X%5B2%5D%2B5, ANSWER ---> Parallel to line x-y=4 > y=x-4
Thank you,
Jojo