Question

How do you find the slope and intercept of `3x + y = -2`?

Answer 1

slope = - 3
y-intercept = -2

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 this form is that m and b may be extracted 'easily'

Rearrange 3x + y = - 2 , into this form.

subtract 3x from both sides.

`rArrcancel(3x)cancel(-3x)+y=-2-3xrArry=-3x-2`

now the slope = - 3 and y-intercept = - 2
graph{-3x-2 [-10, 10, -5, 5]}