Answer:
We can use the slope formula to write:
slope = (change in y) / (change in x)
Given that the slope of the line passing through R(2,y) and S(x,3) is 2, we have:
2 = (3 - y) / (x - 2)
Multiplying both sides by (x - 2), we get:
2(x - 2) = 3 - y
Expanding the left side of the equation gives:
2x - 4 = 3 - y
Adding y to both sides of the equation gives:
2x - 4 + y = 3
Adding 4 to both sides of the equation gives:
2x + y = 7
Therefore, the relation between x and y is:
y = 7 - 2x