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)

$12. that is my answer.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.