Question

Need some help on this PLEASE. I'm already almost failing. please help

Write an equation for the line parallel to the given line that contains C. C ( -1, 5)​; y = 2/5 x - 6

Answer 1

The answer is idk lol sorry I stuck at math

Answer 2

y =
`(2)/(5)` x +
`(27)/(5)`

the equation of a line in slope- intercept form is

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

y =
`(2)/(5)` x - 6 is in this form with slope m =
`(2)/(5)`

Parallel lines have equal slopes, thus

y =
`(2)/(5)` x + c is the partial equation of parallel line

to find c , substitute (- 1, 5 ) into the partial equation

5 = -
`(2)/(5)` + c ⇒ c = 5 +
`(2)/(5)` =
`(27)/(5)`

y =
`(2)/(5)` x +
`(27)/(5)` ← equation of parallel line