Question

What is the standard form of the equation y=-3/2x+5

Answer 1

`y = - (3)/(2)x + 5 \\ y = - (3x)/(2) + 5 \\ y = - (3x)/(2) + (5 * 2)/(1 * 2) \\ y = - (3x)/(2) + (10)/(2) \\ y = ( - 3x + 10)/(2)`
or you can turn it like this...

`2y = 10 - 3x`

Answer 2

`2y+3x=10` is the standard form

Explanation:

the standard form of the equation
`y=-(3)/(2) x+5`

Standard form of the equation is Ax+By =C

`y=-(3)/(2) x+5`

Multiply the whole equation by 2 to remove the denominator 2

`2y=-3x+10`

To get standard form we move -3x to the left side, add 3x on both sides

`2y=-3x+10`

`2y+3x=10` is the standard form