+2446 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. \(A,B,C\in\mathbb{Z}\) (A, B, and C must be integers)
3. \(A\geq0\)
4. A,B, and C must be co-prime
Knowing these rules, let's now convert \(y=-\frac{2}{5}x-5\) into standard form:
| \(y=-\frac{2}{5}x-5\) | 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. |
