Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm