Answer:
x = 7
T(7, 3)
Step-by-step explanation:
The slope of the line is the same everywhere, so the ratio of y-differences to x-differences is constant.
Differences between R and S:
S -R = (-1, -1) -(-5, -3) = (-1+5, -1+3) = (4, 2)
T -R = (x, 3) -(-5, -3) = (x+5, 3+3) = (x+5, 6)
Then the ratios of y-differences to x-differences are ...
2/4 = 6/(x+5)
2(x+5) = 4(6) . . . . cross multiply
2x +10 = 24 . . . . . simplify
2x = 14 . . . . . . . . subtract 10
x = 7 . . . . . . . . . . divide by 2
Point T is (7, 3). . . . . . . . (x=7)
