Question

Write the equation of the line in slope intercept form that has a slope of -1/5 and contains (-5,-3)

Answer 1

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

Explanation:

As we know the point slope form of an equation is as follows -

y - y₁ = m ( x - x₁ )

As we have slope , m =
`-(1)/(5)`

And point (x₁ , y₁ ) = ( -5, -3)

⇒ y - ( -3) =
`-(1)/(5)` ( x - (-5) )

⇒ y + 3 =
`-(1)/(5)` ( x + 5 )

⇒ y + 3 =
`-(1)/(5)` x - 1

⇒ y =
`-(1)/(5)` x - 1 - 3

⇒ y =
`-(1)/(5)` x - 4

So, the equation becomes

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