Question

Write an equation in point-slope form of the line that passes through the given points:

1. (4, 1), (-2, 7)

2. (1, 3), (-3, 0)

3. (-2, -5), (4, -1)

Answer 1

-Use Slope formula first, to find the slope and after you have the slope, use the slope and the first point or coordinate for the point-slope formula:

Slope Formula:

`m = (y_(2)-y_(1))/(x_(2)-x_(1))` ( where the first point is
`(x_(1), y_(1))` and the second point

Point-slope formula:

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

1.)
`(4, 10) , (-2, 7)`

`m = (7-1)/(-2-4)`

`m = -1`

Point-slope form:

`y-1= -1 ( x-4)`

2).
`(1, 3), (-3, 0)`

`m = (0-3)/(-3-1)`

`m = (3)/(4)`

Point-slope form:

`y-3=(3)/(4) ( x-1)`

3).
`(-2, -5), (4, -1)`

`m = (-1+5)/(4+2)`

`m = (4)/(3)`

Point-slope form:

`y+5=(4)/(3) ( x+2)`