 Solution

ID: past-exam-of-the-computer-science-course-of-the-university-of-oxford/2015/geometric-modelling/1/b/solution

y

when

Δ x \neq = 0

gives

y = y_{A} + \frac{Δ y}{Δ x} (x - x_{A}), m = \frac{y _{B} - y _{A}}{x _{B} - x _{A}} .

Here “gradient” means the slope

d y / d x

, rather than the gradient

(a, b)

of an implicit defining function. If

Δ x = 0

and

A \neq = B

, the straight line is vertical and has no finite slope. If

Δ y = 0

and

Δ x \neq = 0

, its slope is zero.

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