Douglas has a segment with endpoints i(5, 2) and j(9, 10) that is divided by a point k such that ik and kj form a 2: 3 ratio. he knows that the distance between the x-coordinates is 4 units. which of the following fractions will let him find the x-coordinate for point k?
2/3, 2/5, 3/2, 3/5

The correct option is 2.

Step-by-step explanation:

It is given that the endpoints of the line segment are I(5, 2) and J(9, 10).

According to the section formula, if a point divide the line segment in m:n, then the coordinates of that point are

The x-coordinate is also written as

The distance between the x-coordinates is 4 units and . So, the  fractions that will let him find the x-coordinate for point K is

The required fraction is 2/5.

The x-coordinate of K is

Therefore the correct option is 2.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).

easy its decreasing

step-by-step explanation:

because its top point is at the to of the graph on the left side (atleast from the veiw i see it) now if that top point wast in the lower part of the graph it would be increasing hope this have a nice day