Question

what is the equation line that is parallel to the line y = 1/3x +4 and passes through the point (6,5)?

Answer 1

The answer to this question is y=1/3x+3



I hope this helps!!!!!!!!!!!

Answer 2

equation of the parallel line will be
`y=(1)/(3)x+3`.

Explanation:

If the two lines have been given as y = mx + c

and y = m'x + c'

Where m and m' are the slopes of the given lines.

If these lines are parallel to each other then slopes of the lines will be same (m = m').

Equation of the given line is y =
`(1)/(3)x+4` with he slope =
`(1)/(3)`

Then slope of a line parallel to this line m =
`(1)/(3)`

Equation of the parallel line will be
`y=(1)/(3)x+c`

Since the line passes through a point (6, 5)

Then
`5=(1)/(3)* (6)+c`

5 = 2 + c

c = 5 - 2

c = 3

Therefore, equation of the parallel line will be
`y=(1)/(3)x+3`