Question

Which of the following point-slope form equations could be produced with the points (3, 4) and (1, -7)?

Answer 1

y - 4 =
`(11)/(2)` ( x - 3 )

Explanation:

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

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

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

~~~~~~~~~~~~~~~

( 3 , 4 )

( 1 , - 7 )

m =
`(-7-4)/(1-3)` =
`(-11)/(-2)` =
`(11)/(2)`

y - 4 =
`(11)/(2)` ( x - 3 )