Question
In the xy‑plane above, a point (not shown) with coordinates (s, t) lies on the graph of the linear function f. If s and t are positive integers, what is the ratio of t to s ?
- 1 to 3
- 1 to 2
- 2 to 1
- 3 to 1
The correct answer is: 2 to 1
HINT – Form the equation of the line
SOLUTION – As we can see on the graph that point (3 , 6) satisfies
y = f(x)
Also, line passes through origin (0.0) satisfies the graph
Using point slope form, equation of the line is (y – y0) = m (x – x0)
where m =
y – 0 = (x – 0)
y = 2x
According to question point (s , t) satisfies the equation.
t = 2s
= 2
So, option C is correct
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