Question

What is the equation of a line that is parallel to y = 1/3 x + 9 and includes the point (3, 4)?​

Answer 1

y =
`(1)/(3)` x + 3

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)/(3)` x + 9 ← is in slope- intercept form

with slope m =
`(1)/(3)`

• Parallel lines have equal slopes , then

y =
`(1)/(3)` x + c ← is the partial equation of the parallel line

to find c substitute (3, 4 ) into the partial equation

4 = 1 + c ⇒ c = 4 - 1 = 3

y =
`(1)/(3)` x + 3 ← equation of parallel line