Question

How do you write `y-1=4/5(x+5)` in slope intercept form?

Answer 1

`y = 4/5x + 5`

Explanation:

The slope intercept for is: `color(red)(y = mx + b)`
Where `m` is the slope and `b` is the y-intercept.

We must solve the equation given for `y`:

`y - 1 = 4/5x + 4/5*5`

`y - 1 = 4/5x + 4/cancel(5)*cancel(5)`

`y - 1 = 4/5x + 4`

`y - 1 + 1 = 4/5x + 4 + 1`

`y - 0 = 4/5x + 5`

`y = 4/5x + 5`

Answer 2

`y=4/5x+5`

Explanation:

The equation of a line in `color(blue)"slope-intercept form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

Begin with distributing the bracket.

`rArry-1=4/5x+4`

`rArry=4/5x+5larr" in slope-intercept form"`