SOLUTION: What is the the slope intercept forms of these equasions? 4y+-1x=4 1y+1x=6 (4,2)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: What is the the slope intercept forms of these equasions? 4y+-1x=4 1y+1x=6 (4,2)      Log On


   

Question 678303: What is the the slope intercept forms of these equasions?
4y+-1x=4
1y+1x=6
(4,2)
Found 2 solutions by lynnlo, ReadingBoosters:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
m1=1/4
m2=-1

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with 4y + -1x = 4
4y + -1x + 1x = 4 + 1x
4y = 4 + x
divide the entire equation by 4
y = 1%2F4x + 4/4
highlight%28y=%281%2F4%29x%2B1%29
...
Starting with 1y+1x=6
1y+1x - 1x = 6 - 1x
highlight_green%28y=-x%2B6%29
...
Settng the two equations equal and solving for x
%281%2F4%29x+%2B+1+=+-x+%2B+6
multiply the entire equation by 4
x + 4 = -4x + 24
isolate the x alone on the left side
x + 4x + 4 - 4 = -4x + 4x + 24 - 4
5x = 20
divide both sides by 5
x = 4
Use x equals for and solve either of the original equations for y
1y + 1(4) = 6
y + 4 - 4 = 6 - 4
y = 2
...
(4,2)
...
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C%281%2F4%29x%2B1%2C-x%2B6%29
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