SOLUTION: give. the slope (m) and the y-intercept (b) in the following equations: 1. 3x-2/3y=6 2. x+4y-5=0 3. 3x-y+9=0 4. 2x-3y+2=0 5. y-5x+2=0

Algebra ->  Angles -> SOLUTION: give. the slope (m) and the y-intercept (b) in the following equations: 1. 3x-2/3y=6 2. x+4y-5=0 3. 3x-y+9=0 4. 2x-3y+2=0 5. y-5x+2=0      Log On


   

Question 952439: give. the slope (m) and the y-intercept (b) in the following equations:
1. 3x-2/3y=6
2. x+4y-5=0
3. 3x-y+9=0
4. 2x-3y+2=0
5. y-5x+2=0
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
give. the slope (m) and the y-intercept (b) in the following equations:
1. 3x-2/3y=6
2. x+4y-5=0
3. 3x-y+9=0
4. 2x-3y+2=0
5. y-5x+2=0
==================
Solve for y
y = mx + b where m is the slope, and b in the y-intercept.
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1. 3x-2/3y=6
9x - 2y = 18
-2y = -9x + 18
y = (9/2)x - 9
m = 9/2 (slope)
b = -9 (y-intercept)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
%283x-2%29%2F3y=6
3x-2=6%2A3y
3x-2=18y
3x%2F18-2%2F18=y
y=%281%2F6%29x-1%2F9
=> the slope m=1%2F6 and the y-intercept b=1%2F9

2.
x%2B4y-5=0
4y=-x%2B5
y=-x%2F4%2B5%2F4
y=-%281%2F4%29x%2B5%2F4
=> the slope m=-1%2F4 and the y-intercept b=5%2F4


3.
3x-y%2B9=0
3x%2B9=y
y=3x%2B9
=> the slope m=3 and the y-intercept b=9

4.
2x-3y%2B2=0
2x%2B2=3y
y=2x%2F3%2B2%2F3
y=%282%2F3%29x%2B2%2F3
=> the slope m=2%2F3 and the y-intercept b=2%2F3

5.
y-5x%2B2=0
y=5x-2
=> the slope m=5 and the y-intercept b=-2