SOLUTION: Write an equation of the line that passes through (-3,2) and is parallel to the line x-y=7. I dont understand how to do this problem. Or even start it for that matter.

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line that passes through (-3,2) and is parallel to the line x-y=7. I dont understand how to do this problem. Or even start it for that matter.      Log On


   

Question 258020: Write an equation of the line that passes through (-3,2) and is parallel to the line x-y=7.
I dont understand how to do this problem. Or even start it for that matter.
Found 2 solutions by richwmiller, Greenfinch:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the x-y=7
y=mx+b where m = slope
You want the same slope in an equation that is parallel.
after you get he slope
plug in the m in y=mx+b and also plug in your x -3 and y 2
and solve for b
then write the equation (y=mx+b) again plugging in just the m and the b
So that you get something like y=2x+5
(y=2x+5) is not your equation

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
The line x - y = 7 can be rewritten as y = x - 7
The gradient of the line is 1, because each increase of 1 in the value of x produces an increase in y of 1 as well.
Any line parallel (||) will also have a gradient of 1, so all lines || to
y = x -7 will be of the form y = x + c where c is a constant
The line we are interested in goes through (-3,2) so we put these numbers into the equation so 2 = -3 + c
so c = 5
The equation is y = x + 5