Find the coordinates of the point 7/10 of the way from A to B. A (-3,-8) B (9,5)

Answer 1

Solution:

Point A(-3,-8) and point B(9,5) note that if the coordinates of the mid point is [(x1+x2)/2 , (y1+y2)/2] , [(-3+9)/2, (-8+5)/2] . ( 3,-3/2) and the midpoint is at 5/10 of the way

Then 7/10 of the way is 2/10 of the way from the distance between points A(-3,-8) and point B(9,5) plus the midpoint coordinates

The distance between points A and point B is [(9-(-3), (5-(-8)] = (12, 13)

The x coordinate 7/10 of the way = 3 + 2(12)/10 = 3+2.4 = 5.4

The y coordinate 7/10 of the way = -3/2 + 2/(13)/10 = -1.5+2.6 = 1.1

The final coordinates are ( 5.4, 1.1) 7/10 of the way from point A

Answer 2

Find x-coordinate 7/10 of the way from -3 to 9:

Find distance between -3 and 9 = 9--3 = 12

Find 7/10 of that distance = 7 * 12/10 = 8.4

Add that to -3 = 8.4 + -3 = 5.4

Find y-coordinate 7/10 of the way from -8 to 5:

Find distance between -8 and 5 = 5--8 = 13

Find 7/10 of that distance = 7 * 13/10 = 9.1

Add that to -8 = -8 + 9.1 = 1.1

point is (5.4,1.1)