Question

What is the slope intercept form of the line passing through `(-2,7)` with a slope of `1/2`?

Answer 1

`y=1/2x+8`

Explanation:

Start with the slope-point form: `(y-bary)=m(x-barx)`
`color(white)("XXX")(y-7)=(1/2)(x-(-2))`
or, simplified as
`color(white)("XXX")y-7 = 1/2x+1`

To convert to slope-intercept form: `y=mx+b`
Add `7` to both sides
`color(white)("XXX")y=1/2x+8`