Question

The line parallel to y=1/4x+1 that passes through the point (6,-2)

Answer 1

y =
`(1)/(4)` x -
`(7)/(2)`

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)/(4)` x + 1 ← is in slope- intercept form

with slope m =
`(1)/(4)`

• Parallel lines have equal slopes , then

y =
`(1)/(4)` x + c ← is the partial equation

to find c substitute (6, - 2 ) into the partial equation

- 2 =
`(3)/(2)` + c ⇒ c = - 2 -
`(3)/(2)` = -
`(7)/(2)`

y =
`(1)/(4)` x -
`(7)/(2)` ← equation of parallel line