How do I write an equation in Standard Form?

Question

An example would be y=2x-9 Please answer this question and show me how you did it. Thank you.

Answer 1

The standard form of the equation of a line takes the form

Ax + By + C = 0, where A, B, and C are integers, A and B are not both zero, and variables x and y represent real numbers

Your given equation is in the point-slope form (slope is -2 and y-intercept is -9). All you need to do is bring everything to the left side of the equal sign. In your case, you would subtract 2x AND add 9 to both sides of the equation to get:

-2x + y + 9 = 0

Simple as that. BUT in the standard form, fractions aren't used, so you have to multiply them all out before doing the step above.

BTW, the A value is an integer, and there is no need to make it positive.

Answer 2

Ax + By = C

So, you've got y = 2x - 9. This is fairly easy, just subtract 2x from both sides:

-2x +y = -9

Now, this is a personal thing, but I would multiply the whole thing by -1 because I don't like that many negatives. Again, I repeat that this is just my own preference, not how it needs to be done. The above answer is perfectly fine.

but I would get

2x - y = 9

Answer 3

Actually its not "just a personal thing"

in the standard form Ax + By + C, A must be positve

so if you end up with a negative A, multiply the whole equation by -1

Answer 4

i don't get ur question..u want to write what kind of equation into the standard form..or u want to form an equation from a graph?
if im not mistaken, the standard form would be ax+by=c
just shuffle around the variables n u'll get the std form...like ur example, it would be 2x-y=9

Answer 5

it will be in Ax+By=C form
therefore, it will be -2x+y=-9
however, my teacher told me to make x positive(always)
so the final answer will be 2x-y=9 (multiplied by -1)