Question

PLEASE HELP!!!

Indicate the equation of the line through (2, -4) and having slope of 3/5


Please write an explanation, I need it quick, thank you

Answer 1

y =
`(3)/(5)` x -
`(26)/(5)`

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m =
`(3)/(5)`, thus

y =
`(3)/(5)` x + c ← is the partial equation

to find c substitute (2, - 4) into the partial equation

- 4 =
`(6)/(5)` + c ⇒ c = - 4 -
`(6)/(5)` = -
`(26)/(5)`

y =
`(3)/(5)` x -
`(26)/(5)` ← equation of line