Write y=2/3x-4/5 in standard form

Expert Answers
sciencesolve eNotes educator| Certified Educator

You need to convert the given slope intercept form of equation into standard form, `ax + by + c = 0,` hence, you need to move all members of equation to the left side, such that:

`y - 2/3 x + 4/5 = 0`

Bringing the terms to a common denominator yields:

`15y - 10x + 12 = 0`

Re-arranging the terms yields:

`-10x + 15y + 12 = 0`

Hence, converting the given slope intercept form, `y=2/3x-4/5` , into standard form yields `-10x + 15y + 12 = 0.`

justaguide eNotes educator| Certified Educator

The equation y = (2/3)x - 4/5 has to be written in the standard form ax + by = c

y = (2/3)x - 4/5

=> y = (10x)/15 - 12/15

=> 15y = 10x - 12

=> 10x - 15y = 12

The equation in the standard form is 10x - 15y = 12

willotree | Student

Standard form is in the form of.. ay + bx + c = 0

y=2/3x-4/5

y - 2/3x + 4/5 = 0