Question

How do you write `y+1/3=5/6(x+2/5)` in slope intercept form?

Answer 1

`y=5/6x`

Explanation:

Slope-intercept form looks like:
`y=color(red)(m)x+color(red)(b)`

where `color(red)(m)` is the value of the SLOPE
and `color(red)(b)` is the value of the `y`-INTERCEPT

1. Expand the left side of the equation:
   `y+1/3=5/6x+10/30`

2. Reduce the fraction `10/30`
   `y+1/3=5/6x+color(red)(1/3)`

3. Subtract `1/3` from both sides of the equation:
   `y+1/3 color(red)(-1/3)=5/6x+1/3 color(red)(-1/3)`

4. Simplify:
   `y=5/6x+color(red)(0)`

`y=5/6x`