Question

Write an equation of the line that passes through the points (-2,-7) and (0,-4). ​

Answer 1

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)` ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

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

( - 2, - 7 )

( 0, - 4 )

m =
`(- 4 - (-7))/(0 - (- 2))` =
`(3)/(2)`

y - ( - 4 ) =
`(3)/(2)` ( x - 0 )

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

y =
`(3)/(2)` x - 4 slope- intercept form

3x - 2y = 8 standard form