Question

In the xy-plane, the line with equation ax+by=1, where a and b are constants, intersects the y-axis where y=2. What is the value of b?

Answer 1

In this problem, the line ax + by = 1 intersects the y-axis where y=2. At the intersection, we know that x = 0 by axis definition. Thus, when x = 0, y = 2 and substituting these values into the original eqn. gives a(0) + b(2) = 1 => b = 1/2

Answer 2

thank you :)