Assume y = 100 − 2x. if x goes up by 3, the corresponding y-value changes by:

Given: y = 100 - 2x

New: y = 100 - 2(x + 3)

           = 100 - 2x - 6

           = 94 - 2x

The original equation had a y-intercept of 100.  The new equation has a y-intercept of 94.  The y-value changes -6 units

-6

(5 - √2) / √3

Multiply the fraction by √3 / √3:

((5 - √2) * √3) / (√3 *√3)

Simplify to get (5√3 - √6) / 3