Question

Find the coordinates of the point 7/10 of the way from A to B. a= (-3, -7) b = (10, 4)

Answer 1

Answer:

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Step-by-step explanation:

A = (xA , yA) = (-3,-6)

B = (xB , yB) = (10,7)

Find the change in x and the change in y:

xB - xA = 10 - (-3) = 13

yB - yA = 7 - (-6) = 13

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

(7/10) (xB - xA) = (7/10) (13) = 9.1

(7/10) (yB - yA) = (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:

xA + (7/10) (xB - xA) = -3 + 9.1 = 6.1

yA + (7/10) (yB - yA) = -6 + 9.1 = 3.1

(x,y) = (6.1, 3.1)