Slope intercept form to standard form?

Question

Change the following equation into standard form

Orignial: y= -2/3x + 4

Write in standard form

Answer 1

The Standard Form for the equation of a line looks like: Ax + By = C

By convention, A is positive and A,B, and C are integers.

Original equation in slope intercept form: y= -2/3x + 4

(2/3)x + y = 4

2x + 3y = 12 [mu;tip;y all by 3]

Answer 2

Hello! The "usual" way to write a linear function is the form y = mx + b (the way it's written in this problem). Standard form is just a different way to express a linear function, in the form Ax + By = C. So we just have to move that x term to the other side:

(2/3)x + y = 4

...and you're done!