SOLUTION: I have my final tomorrow and cannot figure these problems out. I need to know HOW to work the problem out. 1. Find the slope and the y-intercept for the follwing equation of a l

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Question 117156: I have my final tomorrow and cannot figure these problems out. I need to know HOW to work the problem out.
1. Find the slope and the y-intercept for the follwing equation of a line.
y=1/3x-2/3
2. same as above but for 6x + 3y = 12
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
#1
Let's use the general equation where m is the slope and b is the y-intercept

From , we can see that and

So the slope is and the y-intercept is

#2

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Subtract 6x from both sides

Simplify

Divide both sides by 3 to isolate y

Break up the fraction on the right hand side

Reduce and simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. Find the slope and the y-intercept for the follwing equation of a line.
y=1/3x-2/3
------------------
the equation is in slope-intercept form
the slope is (1/3); the intercept is (-2/3)
------------------------------------------
2. same as above but for 6x + 3y = 12
Solve for y:
3y = -6x + 12
y = -2x + 4
slope is -2 ; intercept is 4
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Cheers,
Stan H.