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

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) (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) (Show Source): You can put this solution on YOUR website!
See the graph below for verification:
---> green line passes on point (1,6)---> Parallel to red line
Using point (1,6)

, ANSWER ---> Parallel to line >
Thank you,
Jojo

RELATED QUESTIONS
Write an equation of the line that passes through (-5, -1) and is parallel to the line y... (answered by Cromlix)
Write an equation of the line that passes through(4,-1) and is parallel to the line... (answered by MathLover1)
How do you write an equation of the line that passes through the point (6, 2) and is... (answered by Ave)
Find an equation of the line that passes through (0,7) and is parallel to... (answered by Boreal)
1.) write an equation of the line that passes through (4, 6) and is parallel to the line... (answered by checkley75)
Write an equation for the line that passes through (1,-4) and is parallel to the line... (answered by Fombitz)
Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the... (answered by mananth)
Write an equation of the line that passes through (-3,4) and is parallel to... (answered by sachi)
Write an equation of the line that passes through (2,-7) and is parallel to the line... (answered by checkley71)