23. The x- and y-coordinates of a point are given by the equations shown at right. The
position of the point depends on the value assigned to t. Use your graph paper to plot
points corresponding to the values t = -4, -3, -2, -1, 0, 1, 2, 3, and 4. Do you
recognize any patterns? Describe what you see.\\
\begin{cases} x = 3+t\\ y = 5 - 2t \end{cases}
24. (Continuation) Plot the points (1, 2), (2, 5), and (3,8) on the coordinate plane. Write equations, similar
to those in the preceding exercise, that produce these points when t-values are assigned. There is more
than one correct answer.
25. By hand, combine each of the following into one term.
(a) $\sqrt{\frac{1}{2}} - 2\sqrt{2} + \frac{3}{\sqrt{8}}$
(b) $-\sqrt{\frac{1}{12}} + \sqrt{27} - \sqrt{\frac{1}{3}}$
26. Calculate the following distances, and briefly explain your method:
(a) from (2, 1) to (10, 10)
(c) from (0,0) to (9,8)
(b) from (-2,3) to (7, -5)
(d) from (4,-3) to (-4,6)
