# A rectangle is graphed on the coordinate grid.

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Mathematics

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The side that is parallel to s is q.

(3,6) and (6,3) are 2 points on the line q.

Slope of the line,

$\\ m=\frac{y_2-y_1}{x_2-x_1}\\ \\ m=\frac{3-6}{6-3}\\ \\ m=\frac{-3}{3}\\ \\ m=-1$

Point slope form of a line is

$y-y_0=m(x-x_0)$

where m is the slope of the line

and $(x_0,y_0)$  is a point on the line.

Take  $(x_0,y_0)$ = (3, 6)

So, equation of the line q is

$\\ y-6=-1(x-3)\\ \\ y-6=-x+3\\ \\ y=-x+3+6\\ \\ y=-x+9$

ANSWER:  y = -x + 9

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