Question

What is an equation of the line that passes through the points (-6,-3) and (-3,-5)

Answer 1

y = -
`(2)/(3)` x - 7

Explanation:

A(
`x_(1)` ,
`y_(1)` ) , B(
`x_(2)` ,
`y_(2)` )

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

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

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

( - 6, - 3 )

( - 3, - 5 )

m =
`(-5+3)/(-3+6)` = -
`(2)/(3)`

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

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

y = -
`(2)/(3)` x - 7