Question

What is the slope intercept form of the line passing through `(-1,3)` with a slope of `5`?

Answer 1

`y=5x+8`

Explanation:

slope-point form with slope `m` through point `(barx,bary)`
`color(white)("XXX")(y-bary)=m(x-barx)`

slope-intercept form with slope `m` and y-intercept `b`
`color(white)("XXX")y=mx+b`

Given slope `m=5` and point `(barx,bary)=(-1,3)`
we can write the slope point form:
`color(white)("XXX")y-3=5(x+1)`

By expanding the right side:
`color(white)("XXX")y-3=5x+5`
and transferring the constant to the right side:
`color(white)("XXX")y=5x+8`
we can convert this into a slope-intercept form