Question

How do you find the slope-intercept of `y - 3/5x = -1`?

Answer 1

slope `=3/5`
y-intercept = - 1

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.

The advantage to having the equation in this form is that m and b may be extracted 'easily'

Rearrange `y-3/5x=-1" into this form"`

add `3/5x" to both sides of the equation"`

`ycancel(-3/5x)cancel(+3/5x)=3/5x-1rArrcolor(red)(|bar(ul(color(white)(a/a)color(black)(y=3/5x-1)color(white)(a/a)|)))`

`rArr"slope" =3/5" and y-intercept" =-1`
graph{3/5x-1 [-10, 10, -5, 5]}