In order to convert an equation in slope-intercept form (y=mx+b) into standard form, you must understand a few rules. I will list them for you:
1. Ax+Bx=C is the form of the linear function
2. A,B,C∈Z (A, B, and C must be integers)
3. A≥0
4. A,B, and C must be co-prime
Knowing these rules, let's now convert y=−25x−5 into standard form:
y=−25x−5 | Because standard form does not allow there to be fractions, let's eliminate the current fraction by multiplying all sides by 5. |
5y=−2x−25 | Add 2x to both sides. |
2x+5y=−25 | We have converted the equation from slope-intercept form while meeting all the conditions. |