rewrite the given linear function in standard form.

Question

convert this linear function:

y= 2/5x – 4

to standard form

Answer 1

Linear Standard Form: Ax + By = C, where A has to be both a positive # and a non-fraction/decimal

So given the linear equation: y = 2/5x - 4

we can multiply the entire equation by 5 in order to get rid of the fraction like this:

5 x [y = 2/5x - 4] so by distributive property, we would get this

5y = 2x - 20

From here, 5y = 2x -20 is in the format of By = Ax - C, so we need to move some terms using algebra

5y = 2x - 20

-5y + 20 = -5y + 20

-----------------------------

20 = 2x - 5y

So our answer is: 2x - 5y = 20

Answer 2

multiplies by 5:

5y = 2x - 20

5y - 2x = -20

2x - 5y = 20