Find the coordinates of the point 7/10 of the way from A to B. A = (-3,-6) B = (10,7)

Question

Its on a cordinate plane

Answer 1

A = (x_A , y_A) = (-3,-6)

B = (x_B , y_B) = (10,7)

Find the change in x and the change in y:

x_B - x_A = 10 - (-3) = 13

y_B - y_A = 7 - (-6) = 13

Find (7/10) the change in x and (7/10) the change in y:

(7/10) (x_B - x_A) = (7/10) (13) = 9.1

(7/10) (y_B - y_A) = (7/10) (13) = 9.1

Add (7/10) the change in x and y to the x and y value in point A to find your new point:

x_A + (7/10) (x_B - x_A) = -3 + 9.1 = 6.1

y_A + (7/10) (y_B - y_A) = -6 + 9.1 = 3.1

(x,y) = (6.1, 3.1)

Answer 2

0.7(10 - (-3)) = 0.7(13) = 9.1

-3 + 9.1 = 6.1

So, your answer is (6.1, y). Find the y-coordinate the same way and round both if necessary.