Which of the following points is collinear with (1, 3), and (3, 5)? a. (2, 2) b. (4, 6) c.(5, 5) , 2)

The correct option is:  b. (4, 6)

Step-by-step explanation:

Given points are:  (1, 3) and (3, 5)

So, the slope of the line through these two points will be:  

Suppose, the co ordinate of the co-linear point is  

So, the slope of line through (3, 5) and (x, y) will be:  

Thus, the equation is.....

Now among the given options, only the point (4, 6) satisfies the above equation as

So, the co-linear point will be  (4, 6)