Question

Write each equation in standard form using integers.
y=3x-11
y=-2x+5
y= 5/2x+4
y= 2/3x-25/3

Answer 1

Standard form is Ax+By=C, where A is non-negative and there are no fractions. This basically means you have to get the x and y terms on the same side, multiply everything by -1 if A is negative, and eliminate fractions.
I'll walk you through the third one.

y = 5/2x + 4

We want the x and y terms on the same side, with the constant on the opposite.

-5/2x + y = 5/2x-5/2x + 4
-5/2x + y = 4

Remember that general form is Ax+Bx=C. A, here, equals -5/2. There are two problems: There is a fraction in the equation, and A is negative.
We can kill two birds with one stone by multiplying everything by the LCD (least common denominator, in the case 2) times -1. LCD*-1=-2 here.

-2(-5/2x + y) = -2(4)
10/2x + -2y = -8
5x - 2y = -8

That's your answer for #3. I'll leave the rest up to you (or other people).