Question

What is the slope-intercept form of the line that passes through (4, –7) and (13, –1)?

Answer 1

`y=2/3x-29/3`

Explanation:

Slope `=(Delta y)/(Delta x) = ((-1)-(-7))/(13-4) =6/9 = 2/3`

Slope-point form: `(y-haty) = m(x-hatx)`

Using `(4,-7)` as `(hatx,haty)` (and `2/3` as the slope `m`):
`color(white)("XXX")y+7 = 2/3x - 8/3`

Converting to slope intercept form:
`color(white)("XXX")y = 2/3x -29/3`