SOLUTION: what is the slope and the y intercept of 3y+3x+1=0

Algebra ->  Rational-functions -> SOLUTION: what is the slope and the y intercept of 3y+3x+1=0      Log On


   



Question 165799: what is the slope and the y intercept of
3y+3x+1=0

Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Method 1
the easiest way to find out the slope and y-intercept is to put the equation into slope-intercept form. You will probably be quizzed on this term throughout high school and college so make sure you know it.
Slope-intercept form is y=mx%2Bb
where (x,y) is any given point
m=slope
b=the y-intercept
.
Given: 3y%2B3x%2B1=0 Solve for y
subtract 3x and subtract 1 from both sides
3y%2B3x%2B1-3x-1=-3x-1
combine like terms
3y=-3x-1
divide both sides by 3
3y%2F3=%28-3x-1%29%2F3
.
reduce and seperate the numbers on the right to fit the correct form
y=%28-3x%29%2F3-%281%2F3%29
or
y=-x-1%2F3
.
Method 2
find the slope and the y-intercept
to find the y-intercept let x=0 , and find y=?
.
3y+3(0)+1=0
3y+1=0
3y=-1
y=-1/3
.
You need another point to determine slope so find the x-intercept by letting y=0 and solving for x
.
3(0)+3x+1=0
3x+1=0
3x=-1
x=-1/3
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C-x-1%2F3%29
.
Tutoring available
contact justin.sheppard.tech@hotmail.com for more details