Question

What is y=3x+13 in standard form?

Answer 1

3x - y = -13

Explanation:

y = mx + b

(This is the slope intercept form)

We want to change it to standard form, which is:

Ax + By = C

We want to rearrange as many of the numbers as we can, without actually changing the problem!

Ax = 3x

By = y

C = 13

So we must move the numbers from one side to another.

Whatever you do to one side, you do to the other.

y = 3x + 13

-3x + y = -3x - y

--------------------

-3x + y = 13

Since we can't have our "Ax" as a negative multiply everything by -1

-1[-3x + y = 13]

3x - y = -13

That is your answer.

Answer 2

3 x − y = − 13

Explanation:

Any equation that relates the first power of x to the first power of y produces a straight line on an x-y graph. The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept. Converting from slope intercept form to standard form takes little more than basic arithmetic.

TLDR:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.