Question

What is the slope intercept form of the line passing through `(2,-3)` with a slope of `-1/2`?

Answer 1

`y=-1/2x-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.

here the slope `=-1/2` so we can write the partial equation as

`y=-1/2x+b`

To find b, substitute the coordinates of the point (2 ,-3) into the partial equation.

`rArr(-1/2xx2)+b=-3`

`rArr-1+b=-3rArrb=-3+1=-2`

`rArry=-1/2x-2" is equation in slope-intercept form"`