Sometimes it is necessary to find the coordinate of a point on a number line that is located somewhere between two given points. For example, suppose that we want to find the coordinate (x) of the point located twothirds of the distance from 2 to 8. Because the total distance from 2 to 8 is 8 - 2 = 6 units, we can start at 2 and move (2/3) 6 = 4 units toward 8. Thus x = 2 + (2/3)6 = 2 + 4 = 6.For each of the following, find the coordinate of theindicated point on a number line.(a) Two-thirds of the distance from 1 to 10(b) Three-fourths of the distance from -2 to 14(c) One-third of the distance from -3 to 7(d) Two-fifths of the distance from -5 to 6(e) Three-fifths of the distance from -1 to -11(f) Five-sixths of the distance from 3 to -7
Sometimes it is necessary to find the coordinate of a point on a number line that is located somewhere between two given points. For example, suppose that we want to find the coordinate (x) of the point located twothirds of the distance from 2 to 8. Because the total distance from 2 to 8 is 8 - 2 = 6 units, we can start at 2 and move (2/3) 6 = 4 units toward 8. Thus x = 2 + (2/3)6 = 2 + 4 = 6.
For each of the following, find the coordinate of the
indicated point on a number line.
(a) Two-thirds of the distance from 1 to 10
(b) Three-fourths of the distance from -2 to 14
(c) One-third of the distance from -3 to 7
(d) Two-fifths of the distance from -5 to 6
(e) Three-fifths of the distance from -1 to -11
(f) Five-sixths of the distance from 3 to -7
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