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0 votes
1 answer
42 views

How to make a 2-d linear function using a third variable for the iterator? [closed]

Say, for example, you have the vector $\vec {PQ} = \langle8,4\rangle$. As we all learned in Algebra I, the "traditional" slope (y-units per x-unit) would be $\frac{4}{8}$, and the slope for ...
In Hoc Signo's user avatar
0 votes
2 answers
588 views

Why is that linear combinations of coefficients with sum 1 give a line?

In case of $$p = t\cdot p_1 + (1 - t) \cdot p_2, \text{ for } p_1, p_2 \in \Bbb R^2, t \in [0, 1]$$ the end of vector $p$ will always land on the line between the endpoints of $p_1$ and $p_2$. Is ...
Balog Szilárd's user avatar
0 votes
1 answer
49 views

How to satisfy a+b = 10?

Consider the line parametrized by \begin{align*} x&= 4t + 2,\\ y& = t+2. \end{align*}Find vector $\begin{pmatrix}a\\b\end{pmatrix}$ that's parallel to this line and satisfies $a+b = 10$. I ...
yeliah's user avatar
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