Question

Parallel to y = 1/5x-4 and goes through (10,-2) in point slope form

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

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

y =
`(1)/(5)` x - 4 ← is in slope- intercept form

with slope m =
`(1)/(5)`

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

Here (a, b ) = (10, - 2 ) , then

y - (- 2) =
`(1)/(5)`(x - 10) , that is

y + 2 =
`(1)/(5)`(x - 10) ← in point- slope form