Answer:
y = 3x - 1
Step-by-step explanation:
Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.
The y-intercept is (-1) and the function passes through the point ( 1, 2 ).
Only the function y = 3x -1 matches these conditions.
We can observe the points in the attached graph.
How about this (see attached image):
Use the four cuts as shown in the image (red lines).
Then assemble 5 equal squares by the numbers: 1 center square and the rest are pieced together using two pieces as shown. All five together add up to the same area as original square because we use all pieces.
The way one gets a hint toward a solution is to see how an area of a square of length 1 can be split into 5 equal square areas:
which indicates we need to find a a triangle with sides 2 and 1 to get the hypotenuse of the right length. That gave rise to the cut pattern (if you look carefully, there are triangles with those side lengths).
