SOLUTION: I wasn't sure what to put this under.It says to 'rewrite each equation in slope-intercept form'. 4x+2y = 8 I know you are supposed to solve for y but after I got the 4x on the ot

Algebra ->  Linear-equations -> SOLUTION: I wasn't sure what to put this under.It says to 'rewrite each equation in slope-intercept form'. 4x+2y = 8 I know you are supposed to solve for y but after I got the 4x on the ot      Log On


   

Question 72185: I wasn't sure what to put this under.It says to 'rewrite each equation in slope-intercept form'. 4x+2y = 8
I know you are supposed to solve for y but after I got the 4x on the other side I didn't know if I was supposed to divide the 2 into the -4x or just the 8.I would really appreciate it if someone could help me?And also the website told me to put an ISBN number but the book I have is from an extension program so it doesn't have one
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
4%2Ax%2B2%2Ay+=+8
.
You need to rearrange this equation to get it into the form y+=+m%2Ax+%2B+b which is
the slope intercept form. You were correct in moving the 4x to the right side by subtracting
4x from both sides of the equation. This leads you to:
.
+2%2Ay+=+-4%2Ax+%2B+8
.
The next step requires that what you do to one term you must do to all individual terms in
the equation.
.
2%2Ay%2F2+=+-4%2Ax%2F2+%2B+8%2F2
.
On the left side the 2 in the numerator is canceled by the 2 in the denominator. On the right
side the -4 in the numerator is divided by the 2 in the denominator to give -2 and this
multiplies the "x." Then the 8 is divided by the 2 to give +4.
.
The result is:
.
y+=+-2%2Ax+%2B+4
.
This is the answer. You can check it by substituting the right side of this answer back
into the original equation of the problem. If you do that you get:
.
4%2Ax+%2B+2%2A%28-2%2Ax+%2B+4%29+=+8
.
Do the distributed multiplication of 2%2A%28-2%2Ax+%2B+4%29. When you multiply this becomes
.
-4%2Ax+%2B+8
.
Substitute this into the equation to get:
.
4%2Ax+-+4%2Ax+%2B+8+=+%2B+8
.
The 4%2Ax+-+4%2Ax cancel each other and you are left with 8 = 8. This is true so the
answer y+=+-4%2Ax+%2B+8 will work because substitution of the right side into the original
equation for the variable y will still maintain the equality of the original problem.
.
Hope this helps you to understand the problem. And remember that whatever you do to
one side of the equation you must do to the entire other side also or you will affect the
equality.
And your selection for the topic of this problem is a good one, so I didn't change it.