Question

write an equation in point slope form from the line through the given point with the given slope (-3,-5);m=-2/5​

Answer 1

Answer: 5y + 2x = -31

Explanation:

The equation of a line in point- slope form is given as :

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

`x_(1)` = -3

`y_(1)` = -5

m =
`(-2)/(5)`

Substituting into the formula , we have

y - ( - 5) =
`(-2)/(5)` (x - {-3} )

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

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

5y + 25 = -2x - 6

5y + 2x = -31