Answer:
(8.2,2)
Step-by-step explanation:
1.
4:1 ratio means XY divided into 5 equal sections. (5 = 4+1)
4:1 ratio means (4/(4+1))
4:1 ratio means (4/5)
2.
4:1 ratio means M is 4/5 of the way from the initial point X(1, −2)
3.
get the x and y distances between (1, −2) and (10, 3)
x2-x1=9
y2-y1=5
4.
since initial point is (1, −2)
you add 1 to the new x value and
you add -2 to the new y value
ANSWERS:
x-coordinate of M = 1 + (4/5)(9) = 1 + 7.2 = 8.2
y-coordinate of M = -2 + (4/5)(5) = -2 + 4 = 2
As we move along XY from X to Y,
x increases by 9 and
y increases by 5
M is the point on XY that is 4/5 of the way from X to Y.
M is 4/5 of the distance from (1,-2) to (10,3).
To find M x and y coordinates 4/5 of distance between (x1,y1) and (x2,y2):
To find M x and y coordinates 4/5 of distance between (1,-2) and (10,3):
x-coordinate of M = 1 + (4/5)(9) = 1 + 7.2 = 8.2
y-coordinate of M = -2 + (4/5)(5) = -2 + 4 = 2
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