Question

The point A is at –2 and the point B is at 7. Marissa would like to divide this line segment in a 4:3 ratio, and she would like to use the formula x = (x2 – x1) + x1.What values should she substitute into the formula?

Answer 1

Explanation:

Note that the distance, along a straight line, from A: -2 to B: 7 is 9 units.

This is found by subtracting -2 from 7, so x2 = 7 and x1 = -2.

Then x = (x2 – x1) + x1 becomes x = (7 - [-2] ) + [-2], or x = 7. This does not make sense.

If we ignore this x = (x2 – x1) + x1, and focus instead on finding the division point in this line segment:

4 + 3 = 7, so the longer part of this 9-unit distance will be (4/7)(9), or 36/7 units long, or 5 1/7 units long. The shorter part will be (3/7)(9), or 27/7 units long.

To check: determine whether the ratio 36/7 to 27/7 comes out to 4:3, as it must:

36 4*9

---- = --------- = 4/3. YES

27 3*9

Answer 2

1). a = 4

2). a + b = 7

3). x1 = -2

4). x2 = 7

Explanation:

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