Question

Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?

Answer 1

First, solve for slope.
Formula for slope:
`(y2-y1)/(x2-x1)`
Plug in values:
`(8-5)/(1-2) = -(3)/(1) = -3`
Slope:
`-3`
Second, we must plug into point-slope form.
Formula for point-slope:
`y -y1 = m(x-x1)`
Plug in the values:
`y - 5 = -3(x - 2)`

And there you have your answer in point-slope form.