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

equation of the parallel line will be .

Step-by-step 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 = with he slope =

Then slope of a line parallel to this line m =

Equation of the parallel line will be

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

Then

5 = 2 + c

c = 5 - 2

c = 3

Therefore, equation of the parallel line will be

step-by-step explanation:

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