Answer:
y = x +9
Step-by-step explanation:
Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...
m = rise/run = 3/3 = 1
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The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...
y -1 = 1(x -(-8))
Adding 1 to both sides and simplifying, we have the slope-intercept equation ...
y = x +9
