SOLUTION: Y=-1/2X-4 Y=3/2X+12 ...i REALLY DON'T GET HOW TO GRAPH EQUATIONS...PLEASE HELP.

Algebra ->  Graphs -> SOLUTION: Y=-1/2X-4 Y=3/2X+12 ...i REALLY DON'T GET HOW TO GRAPH EQUATIONS...PLEASE HELP.       Log On


   



Question 680607: Y=-1/2X-4
Y=3/2X+12
...i REALLY DON'T GET HOW TO GRAPH EQUATIONS...PLEASE HELP.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with y = -1%2F2x - 4
the y intercept is -4
Plot (0, -4)
the x intercept is where y = 0
0 = -1%2F2x - 4
4 = -1%2F2x
x = 4(-2)
x = -8
Plot (-8, 0)
Draw a line through the intercepts.
...
Using y = 3%2F2x + 12
the y intercept is 12
Plot (0, 12)
the x intercept is where y = 0
0 = 3%2F2x + 12
-12 = 3%2F2x
x = -122%2F3
x = -24%2F3 = -8
Plot (-8, 0)
Draw a line through the intercepts
...
Both lines will intersect and that point of intersection is the solution to this system of equations.
From the intercepts we see that both have (-8, 0) as an x intercept and this is the point where the two lines intersect.
...
Therefore the solution is (-8,0)
...
To confirm algebraically, put the equations equal to each other
%28-1%2F2%29x-4+=+%283%2F2%29x+%2B+12 and solve for x
%28-1%2F2%29x+-+%283%2F2%29x+=+12+%2B+4
%28-4%2F2%29x+=+16
-2x = 16
x = -8
Plug -8 into either equation and solve for y
y = %28-1%2F2%29%28-8%29+-+4+=+4+-+4+=+0
(-8,0)
...
graph%28300%2C200%2C-10%2C4%2C-10%2C14%2C%28-1%2F2%29x-4%2C%283%2F2%29x%2B12%29
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.