SOLUTION: I NEED HELP: IDENTIFY THE SLOPE,m,and the y-intercept,b for each line 1. 3x + 4y = 6 2. 3/4x + 2y = -3 3. -2x - y = 4 4. 15x + 5y = -35

Algebra ->  Linear-equations -> SOLUTION: I NEED HELP: IDENTIFY THE SLOPE,m,and the y-intercept,b for each line 1. 3x + 4y = 6 2. 3/4x + 2y = -3 3. -2x - y = 4 4. 15x + 5y = -35      Log On


   

Question 264837: I NEED HELP:
IDENTIFY THE SLOPE,m,and the y-intercept,b for each line
1. 3x + 4y = 6
2. 3/4x + 2y = -3
3. -2x - y = 4
4. 15x + 5y = -35
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
USE: y=mx+b m=slope b=y-intercept
Solve for y in the following equations first
1. 3x + 4y = 6
3x%2B4y=6
3x-3x%2B4y=6-3x
4y=6-3x
%28%284y%29%2F4%29=%28%286-3x%29%2F4%29
y=%286%2F4%29%2B%28-3x%2F4%29
y=%283%2F2%29%2B%28-3%2F4%29x%29
y=%28-3%2F4%29x%2B%283%2F2%29
m=-3%2F4b=3%2F2
------------------------
2. 3/4x + 2y = -3
%283%2F4%29x%2B2y=-3
4%283%2F4%29x%2B4%282y%29=4%28-3%29
3x%2B8y=-12
3x-3x%2B8y=-12-3x
8y=-12-3x
%288y%29%2F8=%28-12-3x%29%2F8
y=%28-12%29%2F8%2B%28-3x%29%2F8
y=%28-3%2F2%29%2B%28-3%2F8%29x
y=%28-3%2F8%29x-3%2F2
m=-3%2F8 b=-3%2F2
------------------------
3. -2x - y = 4
-2x-y=4
-2x-y%2By=4%2By
-2x=4%2By
-2x-4=4-4%2By
-2x-4=y
y=-2x-4
m=-2 b=-4
------------------------
4. 15x + 5y = -35
15x%2B5y=-35 divide everything by 5
3x%2By=-7
3x-3x%2By=-7-3x
y=-7-3x
y=-3x-7
m=-3 b=-7