Question

What is the slope and y intercept of the line represented by the equation `y=3-2y`?

Did you mean `y=3-2x`?

Answer 1

`x_("intercept")=3/2`

`y_("intercept") = 3`

Explanation:

Assumption: you meant `y=3-2x`

Write as `y=-2xcolor(red)(+3)`

`y_("intercept") =color(red)( +3)`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x-intercept is at `y=0` so by substitution we have:

`y=0=-2x+3`

Add `2x` to both sides

`2x=3`

divide both sides by 2

`x_("intercept")=3/2`