Question

Write the point-slope form of an equation for a line that passes through (-7, 1) and (-3, 9).

Answer 1

`\boxed {y - 1 = 2 (x + 7)}`

Explanation:

First use the Slope Formula to determine the slope of two points:

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`

(Where
`(x_(1), y_(1))` is the first point and
`(x_(2), y_(2))` is the second point)

-Apply the two following points for the formula:

`(x_(1), y_(1)) = (-7, 1)`

`(x_(2), y_(2)) = (-3, 9)`

`m = (9 - 1)/(-3 + 7)`

-Solve:

`m = (9 - 1)/(-3 + 7)`

`m = (8)/(4)`

`m = 2`

After you have found the slope, use the slope
`2` and the first point
`(-7, 1)` for the Point-Slope Formula:

`y - y_(1) = m (x - x_(1))`

-Apply them for the formula:

Slope =
`2`

First point =
`(-7, 1)`

`\boxed {y - 1 = 2 (x + 7)}`