SOLUTION: In exercises 57-64 write an equation in the form y=mx+b of the line that is described #62.the line has the same y-intercept as the line whose equation is 2y=6x+8 and is parallel

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In exercises 57-64 write an equation in the form y=mx+b of the line that is described #62.the line has the same y-intercept as the line whose equation is 2y=6x+8 and is parallel      Log On


   

Question 504038: In exercises 57-64 write an equation in the form y=mx+b of the line that is described
#62.the line has the same y-intercept as the line whose equation is 2y=6x+8 and is parallel to the line whose equation is 4x+4y=20.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
(a) Define a line that has the same y-intercept as 2y = 6x +8
2y = 6x +8
y = 3x + 4
The y-intercept = (0,4), so there are infinitely many lines that go through that point.
.
(b) Define a line parallel to 4x +4y = 20
4x + 4y = 20
4y = -4x + 20
y = -1x + 5
.
So, the desired line has a slope of -1 and goes through the point (0,4).
y = -1x + 4
.
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