what is y+2=7/8(x-3) in standard form

Question

 this ismy math problem that i need alot of help  with because i dont understand it

Answer 1

y + 2 = 7(x-3)/8

 

Standard form is Ax + By = C, where A, B, and C are integers (no fractions) and A is positive.  Start by multiplying both sides by 8 to get rid of the fraction:

 

8y + 16 = 7(x-3)

Distribute (multiply) the 7 across the terms in the parentheses:

 

8y + 16 = 7x - 21

 

Subtract 16 from both sides:

 

8y = 7x - 37

 

Subtract 7x from both sides:

 

-7x + 8y = -37

 

Multiply both sides by -1 to make the coefficient of x positive:

 

7x - 8y = 37

 

and you're done - the equation is in standard form Ax + By = C where A = 7, B = -8, and C = 37.

Answer 2

OK, I think you mean to write this in the standard form of an equation for a line.  AND I think you mean that on the right hand side (x-3) is in the numerator.  So it's something like this:

 

y + 2 = 7   (x - 3)

           ---

            8

 

If I'm right, then what you want to do is

 

1. Simplify the right side.

2. Get x and y on the same side.

3. Get the constants over to the right side.

 

...so it looks something like Ax + By = C

 

So first, multiply both sides by 8 to get rid of the fraction:

 

y+2=7/8 * (x-3)

8(y + 2) = 8 * 7/8 * (x - 3) = 7 (x - 3)

 

Now simplify both sides:

 

8y + 16 = 7x - 21

 

Now bring the 7x over to the left by subtracting 7x from both sides:

 

8y + 16 - 7x = 7x - 21 - 7x

-7x + 8y + 16 = -21

 

Now bring the 16 over to the left by subtracting it from both sides:

 

-7x + 8y + 16 - 16 = -21 - 16

-7x + 8y = -37

 

Finally, it's better to have a positive coefficient for x if you can.  So multiply both sides by -1.  That just means changing the sign of every term on both sides:

 

7x - 8y = 37

 

 

Answer 3

Hi Mary,

 

Math uses variables and operations to form expressions.  You will also need to know definitions and procedures.
 
This problem has variables x and y with operators "+" and "-" and a fraction and a multiplication (it's implied) and an equals sign.  You should be very sure you can read the equation out loud.
 
Now, you need the definition for standard form of a linear equation with variables x and y:
     The Standard Form for a linear equation in two variables, x and y, is usually given as
                    Ax + By = C
 
So, the problem is asking you to convert the given equation to look like Ax + By = C.
 
Let's go:
       y + 2 = (7/8) * (x-3)            remember, I said multiplication was implied
      8*(y+2) = 8*(7/8)*(x-3)           multiply both sides by 8 and they are still equal; I want to get rid of the fraction
      8y + 16 = 7x - 21
       -7x + 8y  =  -37
    [in standard form, the x term is first and its coefficient is usually made to be positive, so multiply everything by -1]
       7x - 8y = 37