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

3 x − y = − 13

Step-by-step 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.

3x - y = -13

Step-by-step 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.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584