Answer:
the coordinates of the point 7/10 of the way from A to B are (7.2 , 1.3)
Step-by-step explanation:
Given:
A(-4,-5)
B(12,4)
To find:
Find the coordinates of the point 7/10 of the way from A to B
Solution:
Let x and y be the coordinate of the point 7/10 of way from A to B
x = -4 + (7/10) (12 - (-4)
= -4 + 7/10 (12+4)
= -4 + 7/10 (16)
= -4 + 112/10
= -4 + 11.2
x = 7.2
y = -5 + (7/10) (4-(-5))
= -5 + (7/10) (4+5)
= -5 + (7/10) (9)
= -5 + 63/10
= -5 + 6.3
y = 1.3
One way to find the coordinates of the point 7/10 of the way from A to B is:
A + (7/10) (B - A) = (7/10)B + (3/10)A
(7B + 3A)/10 = (7(12,4) + 3(-4,-5)) / 10
= (84, 28 + -12, -15) / 10
= (84 -12, 28 -15) /10
= (72 , 13) / 10
= (72/10 , 13/10)
= (7.2 , 1.3)
Hence the coordinates are (7.2,1.3)
