Question

Points K(2,3), L(5,5) , and M(x,y) are collinear. L divides overline KM such that KL:LM is 1:4. Graph M.

Answer 1

To find the coordinates of point M on the line segment KL, we can use the concept of midpoint.

Step-by-step explanation:

To find the coordinates of point M, we can use the concept of midpoint. Since KL:LM is 1:4, we can assume that the coordinates of point L are (1/5) of the way from K to M. Using the midpoint formula, we can find the values of x and y for point M. Let's calculate:

The x-coordinate of L is 5, so (1/5) of the distance from K to M is 3. Therefore, the x-coordinate of M is 2 + (3 * (5 - 2)) = 11.

The y-coordinate of L is 5, so (1/5) of the distance from K to M is 0.4. Therefore, the y-coordinate of M is 3 + (0.4 * (5 - 3)) = 3.8.

Hence, the coordinates of point M are (11, 3.8).