Question

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

Answer 1

`"slope "=-1/2" and intercept "=3/2`

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.

`"Rearrange " x+2y=3" into this form"`

subtract x from both sides.

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

`rArr2y=-x+3`

divide ALL terms by 2

`(cancel(2) y)/cancel(2)=-1/2x+3/2`

`rArry=-1/2x+3/2larr" in form " y=mx+b`

`rArr"slope "=m=-1/2" and y-intercept "=b=3/2`