SOLUTION: Determine the equation of the line through (0,4) with a slope of 1/3. Write the answer in standard form using only integers as the coefficients

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Question 48510: Determine the equation of the line through (0,4) with a slope of 1/3. Write the answer in standard form using only integers as the coefficients
Found 2 solutions by tutorcecilia, stanbon:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation of the line through (0,4) with a slope of 1/3. Write the answer in standard form using only integers as the coefficients
Use the point-slope formula:
(y-y1)=m(x-x1) [Plug-in the points]
(y-4) = (1/3)(x-0)[Simplify]
y-4=1/3x - 0
y-4=1/3x [Move the variables to one side of the equation]
-1/3x + y = 4 [Standard form]

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation of the line through (0,4) with a slope of 1/3. Write the answer in standard form using only integers as the coefficients
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The form of the equation will be y=mx+b
You are told m=1/3, and if x=0 then y=4.
Substituting those values into the equation form you can solve for "b", as follows:
4=(1/3)(0)+b
b=4
EQUATION:
y=(1/3)x+4
Multiply thru by 4 to get integer coefficients, as follows:
4y=x+16
Cheers,
Stan H.