Find the coordinators of the point 3/10 of the way from A to B

Question

A= (-3,-7)

B=(10,4)

Answer 1

Point P is 3/10 of the way when A + 3/10 (dist from A to B)in the line from A to B is P. This is along the hypotenuse that runs from A to B. Because of similar triangles you can do the same thing for the x and y coordinates (which are the sides of the right triangle)

(x_p , y_p) = (x_A + .3(x_B - x_A) , y_A + .3(y_B - y_A) )