Answer:
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: [tex]\frac{5-3}{3-1}= \frac{2}{2}=1[/tex]
Suppose, the co ordinate of the co-linear point is [tex](x, y)[/tex]
So, the slope of line through (3, 5) and (x, y) will be: [tex]\frac{y-5}{x-3}[/tex]
Thus, the equation is.....
[tex]\frac{y-5}{x-3}= 1\\ \\ y-5=x-3\\ \\ y=x+2[/tex]
Now among the given options, only the point (4, 6) satisfies the above equation as [tex]6=4+2[/tex]
So, the co-linear point will be (4, 6)
