Question

Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3).

Answer 1

Point-slope form:

`y+3=0(x-0)`

Explanation:

-To get the point-slope form, you need to find the slope first by using the slope formula:

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

-Use the two given points
`(0,-3)` and
`(4,1)` for the formula:

`m = (-3+3)/(4-0)`

-Solve the formula:

`m = (-3+3)/(4-0)`

`m = 0`

-After you have the slope, which is
`0` obviously, you need the point-slope formula to get it in a point-slope form:

`y-y_(1)=m(x-x_(1))` (where
`m` represents the slope, and
`(x_(1),y_(1))` represents the first point).

-To get in a point-slope form, you only need to use the slope
`0` and the first point
`(0-3)` for the point-slope equation:

`y+3=0(x-0)`

So, the point-slope form is
`y+3=0(x-0)` .