A line with a slope of #1/3# passes through the point #(3,6)#. What point lies on this line?

1 Answer
Feb 21, 2018

see below

Explanation:

the general equation of a straight line is #y=mx +c# where #"m# represents the slope.
In this case,#y=x//3 +c#
Plugging in the coordinates of the point#(3,6)#,we get #c# as
6-1 or 5.
Thus the required equation of the straight line is #y=x//3 +5#
Now for different values of #(x,y)#,we shall get the coordinates of different points which lie on this line.