Question

How do you write the equation in slope intercept form `y+5=3/7(x-14)`?

Answer 1

`y=3/7x-11`

Explanation:

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

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

We require to rearrange this equation into this form.

The first step is to distribute the bracket.

`rArry+5=3/7x-6`

subtract 5 from both sides

`ycancel(+5)cancel(-5)=3/7x-6-5`

`rArry=3/7x-11" in slope-intercept form"`