Question

Find the equation of the line with slope m

= -1/2 that contains the point (-10, 1).

In slope intercept form

Answer 1

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

Explanation:

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

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

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

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

( - 10, 1 )

y - 1 = -
`(1)/(2)` [ x - ( - 10 )]

y - 1 = -
`(1)/(2)` x + ( -
`(1)/(2)` )(10)

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